157528134624 has 96 divisors (see below), whose sum is σ = 485357031936. Its totient is φ = 43791598080.

The previous prime is 157528134611. The next prime is 157528134697. The reversal of 157528134624 is 426431825751.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×157528134624² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3142932 + ... + 3192659.

It is an arithmetic number, because the mean of its divisors is an integer number (5055802416).

Almost surely, 2^157528134624 is an apocalyptic number.

157528134624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

157528134624 is an abundant number, since it is smaller than the sum of its proper divisors (327828897312).

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

157528134624 is a wasteful number, since it uses less digits than its factorization.

157528134624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335648 (or 6335640 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The spelling of 157528134624 in words is "one hundred fifty-seven billion, five hundred twenty-eight million, one hundred thirty-four thousand, six hundred twenty-four".