157565952 has 176 divisors, whose sum is σ = 481454400. Its totient is φ = 50872320.

The previous prime is 157565951. The next prime is 157565971. The reversal of 157565952 is 259565751.

157565952 is a `hidden beast` number, since 1 + 5 + 7 + 56 + 595 + 2 = 666.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 157565898 and 157565907.

It is not an unprimeable number, because it can be changed into a prime (157565951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1133499 + ... + 1133637.

Almost surely, 2^157565952 is an apocalyptic number.

157565952 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 157565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240727200).

157565952 is an abundant number, since it is smaller than the sum of its proper divisors (323888448).

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

157565952 is a wasteful number, since it uses less digits than its factorization.

157565952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its digits is 472500, while the sum is 45.

The square root of 157565952 is about 12552.5277135723. The cubic root of 157565952 is about 540.1165180665.

The spelling of 157565952 in words is "one hundred fifty-seven million, five hundred sixty-five thousand, nine hundred fifty-two".