157145627520 has 768 divisors, whose sum is σ = 637355796480. Its totient is φ = 34936012800.

The previous prime is 157145627437. The next prime is 157145627539. The reversal of 157145627520 is 25726541751.

157145627520 is a `hidden beast` number, since 1 + 5 + 7 + 14 + 5 + 627 + 5 + 2 + 0 = 666.

157145627520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322680717 + ... + 322681203.

It is an arithmetic number, because the mean of its divisors is an integer number (829890360).

Almost surely, 2^157145627520 is an apocalyptic number.

157145627520 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 157145627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318677898240).

157145627520 is an abundant number, since it is smaller than the sum of its proper divisors (480210168960).

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

157145627520 is a wasteful number, since it uses less digits than its factorization.

157145627520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 157145627520 in words is "one hundred fifty-seven billion, one hundred forty-five million, six hundred twenty-seven thousand, five hundred twenty".