157258752 has 176 divisors, whose sum is σ = 490493952. Its totient is φ = 43868160.

The previous prime is 157258741. The next prime is 157258771. The reversal of 157258752 is 257852751.

157258752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1526733 + ... + 1526835.

Almost surely, 2^157258752 is an apocalyptic number.

157258752 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 157258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245246976).

157258752 is an abundant number, since it is smaller than the sum of its proper divisors (333235200).

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

157258752 is a wasteful number, since it uses less digits than its factorization.

157258752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its digits is 196000, while the sum is 42.

The square root of 157258752 is about 12540.2851642217. The cubic root of 157258752 is about 539.7652752147.

The spelling of 157258752 in words is "one hundred fifty-seven million, two hundred fifty-eight thousand, seven hundred fifty-two".