157352832 has 384 divisors, whose sum is σ = 594048000. Its totient is φ = 38817792.

The previous prime is 157352831. The next prime is 157352837. The reversal of 157352832 is 238253751.

It is a happy number.

157352832 is a `hidden beast` number, since 1 + 573 + 5 + 2 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (157352831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1991769 + ... + 1991847.

It is an arithmetic number, because the mean of its divisors is an integer number (1547000).

Almost surely, 2^157352832 is an apocalyptic number.

157352832 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 157352832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297024000).

157352832 is an abundant number, since it is smaller than the sum of its proper divisors (436695168).

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

157352832 is a wasteful number, since it uses less digits than its factorization.

157352832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 157352832 is about 12544.0357142349. The cubic root of 157352832 is about 539.8728918937.

It can be divided in two parts, 15735 and 2832, that multiplied together give a triangular number (44561520 = T₉₄₄₀).

The spelling of 157352832 in words is "one hundred fifty-seven million, three hundred fifty-two thousand, eight hundred thirty-two".