157597440 has 576 divisors, whose sum is σ = 692278272. Its totient is φ = 29491200.

The previous prime is 157597423. The next prime is 157597441. The reversal of 157597440 is 44795751.

It is a happy number.

157597440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 157597392 and 157597401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157597441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3843820 + ... + 3843860.

It is an arithmetic number, because the mean of its divisors is an integer number (1201872).

Almost surely, 2^157597440 is an apocalyptic number.

157597440 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 157597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346139136).

157597440 is an abundant number, since it is smaller than the sum of its proper divisors (534680832).

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

157597440 is a wasteful number, since it uses less digits than its factorization.

157597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 157597440 is about 12553.7819002881. The cubic root of 157597440 is about 540.1524946547.

The spelling of 157597440 in words is "one hundred fifty-seven million, five hundred ninety-seven thousand, four hundred forty".