157359840 has 96 divisors (see below), whose sum is σ = 540763776. Its totient is φ = 38146560.

The previous prime is 157359827. The next prime is 157359893. The reversal of 157359840 is 48953751.

It is a tau number, because it is divible by the number of its divisors (96).

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 junction number, because it is equal to n+sod(n) for n = 157359792 and 157359801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9622 + ... + 20181.

It is an arithmetic number, because the mean of its divisors is an integer number (5632956).

Almost surely, 2^157359840 is an apocalyptic number.

157359840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157359840 is an abundant number, since it is smaller than the sum of its proper divisors (383403936).

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

157359840 is a wasteful number, since it uses less digits than its factorization.

157359840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29832 (or 29824 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 157359840 is about 12544.3150470641. The cubic root of 157359840 is about 539.8809065213.

The spelling of 157359840 in words is "one hundred fifty-seven million, three hundred fifty-nine thousand, eight hundred forty".