157656642 has 96 divisors (see below), whose sum is σ = 391728960. Its totient is φ = 41696640.

The previous prime is 157656637. The next prime is 157656649. The reversal of 157656642 is 246656751.

Its product of digits (302400) is a multiple of the sum of its prime factors (576).

It is a junction number, because it is equal to n+sod(n) for n = 157656594 and 157656603.

It is not an unprimeable number, because it can be changed into a prime (157656649) 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, 309484 + ... + 309992.

It is an arithmetic number, because the mean of its divisors is an integer number (4080510).

Almost surely, 2^157656642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157656642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195864480).

157656642 is an abundant number, since it is smaller than the sum of its proper divisors (234072318).

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

157656642 is a wasteful number, since it uses less digits than its factorization.

157656642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 557 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 157656642 is about 12556.1396137507. The cubic root of 157656642 is about 540.2201228781.

The spelling of 157656642 in words is "one hundred fifty-seven million, six hundred fifty-six thousand, six hundred forty-two".