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150912 = 2732131
BaseRepresentation
bin100100110110000000
321200000100
4210312000
514312122
63122400
71165656
oct446600
9250010
10150912
11a3423
1273400
13538c8
143cdd6
152eaac
hex24d80

150912 has 48 divisors (see below), whose sum is σ = 437580. Its totient is φ = 49920.

The previous prime is 150907. The next prime is 150919. The reversal of 150912 is 219051.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150919) by changing a digit.

150912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1087 + ... + 1217.

2150912 is an apocalyptic number.

150912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218790).

150912 is an abundant number, since it is smaller than the sum of its proper divisors (286668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150912 is a wasteful number, since it uses less digits than its factorization.

150912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 150912 is about 388.4739373497. The cubic root of 150912 is about 53.2403936913.

Adding to 150912 its reverse (219051), we get a palindrome (369963).

It can be divided in two parts, 1509 and 12, that added together give a square (1521 = 392).

The spelling of 150912 in words is "one hundred fifty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 262 288 384 393 524 576 786 1048 1152 1179 1572 2096 2358 3144 4192 4716 6288 8384 9432 12576 16768 18864 25152 37728 50304 75456 150912