157289397120 has 384 divisors, whose sum is σ = 585052416000. Its totient is φ = 38824980480.

The previous prime is 157289397113. The next prime is 157289397149. The reversal of 157289397120 is 21793982751.

It is a happy number.

157289397120 is a `hidden beast` number, since 1 + 57 + 2 + 89 + 397 + 120 = 666.

157289397120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 4087731 + ... + 4126029.

It is an arithmetic number, because the mean of its divisors is an integer number (1523574000).

Almost surely, 2^157289397120 is an apocalyptic number.

157289397120 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 157289397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292526208000).

157289397120 is an abundant number, since it is smaller than the sum of its proper divisors (427763018880).

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

157289397120 is a wasteful number, since it uses less digits than its factorization.

157289397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38378 (or 38363 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 157289397120 in words is "one hundred fifty-seven billion, two hundred eighty-nine million, three hundred ninety-seven thousand, one hundred twenty".