157507840 has 72 divisors (see below), whose sum is σ = 431202240. Its totient is φ = 53999616.

The previous prime is 157507789. The next prime is 157507859. The reversal of 157507840 is 48705751.

It is a super-2 number, since 2×157507840² = 49617439322931200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157507840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171 + ... + 17749.

It is an arithmetic number, because the mean of its divisors is an integer number (5988920).

Almost surely, 2^157507840 is an apocalyptic number.

157507840 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 157507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215601120).

157507840 is an abundant number, since it is smaller than the sum of its proper divisors (273694400).

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

157507840 is an equidigital number, since it uses as much as digits as its factorization.

157507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17607 (or 17593 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 37.

The square root of 157507840 is about 12550.2127472007. The cubic root of 157507840 is about 540.0501096617.

The spelling of 157507840 in words is "one hundred fifty-seven million, five hundred seven thousand, eight hundred forty".