157413250900 has 18 divisors (see below), whose sum is σ = 341586754670. Its totient is φ = 62965300320.

The previous prime is 157413250837. The next prime is 157413250931. The reversal of 157413250900 is 9052314751.

157413250900 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 3 ways, for example, as 36356574276 + 121056676624 = 190674^2 + 347932^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 157413250900.

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 5 ways as a sum of consecutive naturals, for example, 787066155 + ... + 787066354.

Almost surely, 2^157413250900 is an apocalyptic number.

157413250900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157413250900 is an abundant number, since it is smaller than the sum of its proper divisors (184173503770).

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

157413250900 is a wasteful number, since it uses less digits than its factorization.

157413250900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574132523 (or 1574132516 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 157413250900 in words is "one hundred fifty-seven billion, four hundred thirteen million, two hundred fifty thousand, nine hundred".