157014117520 has 80 divisors (see below), whose sum is σ = 416265076080. Its totient is φ = 54564175872.

The previous prime is 157014117479. The next prime is 157014117529. The reversal of 157014117520 is 25711410751.

It can be written as a sum of positive squares in 8 ways, for example, as 6941555856 + 150072561664 = 83316^2 + 387392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (157014117529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4422765 + ... + 4458124.

It is an arithmetic number, because the mean of its divisors is an integer number (5203313451).

Almost surely, 2^157014117520 is an apocalyptic number.

157014117520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157014117520 is an abundant number, since it is smaller than the sum of its proper divisors (259250958560).

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

157014117520 is a wasteful number, since it uses less digits than its factorization.

157014117520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880932 (or 8880926 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 34.

The spelling of 157014117520 in words is "one hundred fifty-seven billion, fourteen million, one hundred seventeen thousand, five hundred twenty".