150400 has 48 divisors (see below), whose sum is σ = 379440. Its totient is φ = 58880.

The previous prime is 150383. The next prime is 150401. The reversal of 150400 is 4051.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3177 + ... + 3223.

It is an arithmetic number, because the mean of its divisors is an integer number (7905).

2¹⁵⁰⁴⁰⁰ is an apocalyptic number.

150400 is a gapful number since it is divisible by the number (10) 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 150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189720).

150400 is an abundant number, since it is smaller than the sum of its proper divisors (229040).

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

150400 is an equidigital number, since it uses as much as digits as its factorization.

150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 150400 is about 387.8143885933. The cubic root of 150400 is about 53.1801158094.

Adding to 150400 its reverse (4051), we get a palindrome (154451).

The spelling of 150400 in words is "one hundred fifty thousand, four hundred".