157365840 has 80 divisors (see below), whose sum is σ = 489093696. Its totient is φ = 41856000.

The previous prime is 157365833. The next prime is 157365841. The reversal of 157365840 is 48563751.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157365841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143695 + ... + 144785.

Almost surely, 2^157365840 is an apocalyptic number.

157365840 is a gapful number since it is divisible by the number (10) 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 157365840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244546848).

157365840 is an abundant number, since it is smaller than the sum of its proper divisors (331727856).

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

157365840 is a wasteful number, since it uses less digits than its factorization.

157365840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 157365840 is about 12544.5541969414. The cubic root of 157365840 is about 539.8877681709.

The spelling of 157365840 in words is "one hundred fifty-seven million, three hundred sixty-five thousand, eight hundred forty".