157485312 has 108 divisors (see below), whose sum is σ = 469925820. Its totient is φ = 50663424.

The previous prime is 157485311. The next prime is 157485323. The reversal of 157485312 is 213584751.

157485312 is a `hidden beast` number, since 1 + 574 + 85 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53934336 + 103550976 = 7344^2 + 10176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157485311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65638 + ... + 67994.

It is an arithmetic number, because the mean of its divisors is an integer number (4351165).

Almost surely, 2^157485312 is an apocalyptic number.

157485312 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 157485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234962910).

157485312 is an abundant number, since it is smaller than the sum of its proper divisors (312440508).

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

157485312 is a wasteful number, since it uses less digits than its factorization.

157485312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2391 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 157485312 is about 12549.3152004402. The cubic root of 157485312 is about 540.0243610409.

The spelling of 157485312 in words is "one hundred fifty-seven million, four hundred eighty-five thousand, three hundred twelve".