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153235152 = 24347219127
BaseRepresentation
bin10010010001000…
…10111011010000
3101200100011010000
421020202323100
5303212011102
623112210000
73540322500
oct1110427320
9350304100
10153235152
1179551924
1243399900
13259925b5
14164cba00
15d6bd01c
hex9222ed0

153235152 has 300 divisors, whose sum is σ = 547345920. Its totient is φ = 41150592.

The previous prime is 153235151. The next prime is 153235153. The reversal of 153235152 is 251532351.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (153235151) and next prime (153235153).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4500) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153235151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1206513 + ... + 1206639.

Almost surely, 2153235152 is an apocalyptic number.

153235152 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 153235152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273672960).

153235152 is an abundant number, since it is smaller than the sum of its proper divisors (394110768).

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

153235152 is a wasteful number, since it uses less digits than its factorization.

153235152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 153235152 is about 12378.8186835417. The cubic root of 153235152 is about 535.1219938996.

The spelling of 153235152 in words is "one hundred fifty-three million, two hundred thirty-five thousand, one hundred fifty-two".