157745952 has 216 divisors, whose sum is σ = 556343424. Its totient is φ = 41513472.

The previous prime is 157745947. The next prime is 157745981. The reversal of 157745952 is 259547751.

157745952 is a `hidden beast` number, since 1 + 57 + 7 + 4 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 157745898 and 157745907.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340473 + ... + 340935.

It is an arithmetic number, because the mean of its divisors is an integer number (2575664).

Almost surely, 2^157745952 is an apocalyptic number.

157745952 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 157745952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278171712).

157745952 is an abundant number, since it is smaller than the sum of its proper divisors (398597472).

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

157745952 is a wasteful number, since it uses less digits than its factorization.

157745952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 488 counting only the distinct ones).

The product of its digits is 441000, while the sum is 45.

The square root of 157745952 is about 12559.6955377111. The cubic root of 157745952 is about 540.3221123471.

The spelling of 157745952 in words is "one hundred fifty-seven million, seven hundred forty-five thousand, nine hundred fifty-two".