157529610000 has 1125 divisors, whose sum is σ = 667367523251. Its totient is φ = 36006768000.

The previous prime is 157529609989. The next prime is 157529610023. The reversal of 157529610000 is 16925751.

The square root of 157529610000 is 396900.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

157529610000 is a `hidden beast` number, since 1 + 575 + 29 + 61 + 0 + 0 + 0 + 0 = 666.

157529610000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12350321424 + 145179288576 = 111132^2 + 381024^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian 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 224 ways as a sum of consecutive naturals, for example, 22504229997 + ... + 22504230003.

Almost surely, 2^157529610000 is an apocalyptic number.

157529610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157529610000 is the 396900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157529610000

157529610000 is an abundant number, since it is smaller than the sum of its proper divisors (509837913251).

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

157529610000 is an frugal number, since it uses more digits than its factorization.

157529610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

Multiplying 157529610000 by its sum of digits (36), we get a square (5671065960000 = 2381400²).

157529610000 divided by its sum of digits (36) gives a square (4375822500 = 66150²).

The spelling of 157529610000 in words is "one hundred fifty-seven billion, five hundred twenty-nine million, six hundred ten thousand".