157361952 has 288 divisors, whose sum is σ = 514805760. Its totient is φ = 41817600.

The previous prime is 157361947. The next prime is 157361959. The reversal of 157361952 is 259163751.

Its product of digits (56700) is a multiple of the sum of its prime factors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 157361952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157361959) 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, 5076177 + ... + 5076207.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 2^157361952 is an apocalyptic number.

157361952 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 157361952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

157361952 is an abundant number, since it is smaller than the sum of its proper divisors (357443808).

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

157361952 is a wasteful number, since it uses less digits than its factorization.

157361952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its digits is 56700, while the sum is 39.

The square root of 157361952 is about 12544.3992283409. The cubic root of 157361952 is about 539.8833218418.

The spelling of 157361952 in words is "one hundred fifty-seven million, three hundred sixty-one thousand, nine hundred fifty-two".