157272640 has 112 divisors (see below), whose sum is σ = 435400704. Its totient is φ = 52992000.

The previous prime is 157272623. The next prime is 157272649. The reversal of 157272640 is 46272751.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 157272596 and 157272605.

It is not an unprimeable number, because it can be changed into a prime (157272649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136065 + ... + 137215.

Almost surely, 2^157272640 is an apocalyptic number.

157272640 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 157272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217700352).

157272640 is an abundant number, since it is smaller than the sum of its proper divisors (278128064).

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

157272640 is a wasteful number, since it uses less digits than its factorization.

157272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 157272640 is about 12540.8388874110. The cubic root of 157272640 is about 539.7811641862.

The spelling of 157272640 in words is "one hundred fifty-seven million, two hundred seventy-two thousand, six hundred forty".