157512904640 has 224 divisors, whose sum is σ = 476528123904. Its totient is φ = 48241889280.

The previous prime is 157512904607. The next prime is 157512904697. The reversal of 157512904640 is 46409215751.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 157512904591 and 157512904600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815477 + ... + 989963.

It is an arithmetic number, because the mean of its divisors is an integer number (2127357696).

Almost surely, 2^157512904640 is an apocalyptic number.

157512904640 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 157512904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238264061952).

157512904640 is an abundant number, since it is smaller than the sum of its proper divisors (319015219264).

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

157512904640 is a wasteful number, since it uses less digits than its factorization.

157512904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174555 (or 174545 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 157512904640 in words is "one hundred fifty-seven billion, five hundred twelve million, nine hundred four thousand, six hundred forty".