157741153920 has 1536 divisors, whose sum is σ = 700088832000. Its totient is φ = 32809328640.

The previous prime is 157741153891. The next prime is 157741153961. The reversal of 157741153920 is 29351147751.

157741153920 is a `hidden beast` number, since 1 + 5 + 77 + 41 + 1 + 539 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2673578851 + ... + 2673578909.

It is an arithmetic number, because the mean of its divisors is an integer number (455787000).

Almost surely, 2^157741153920 is an apocalyptic number.

157741153920 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 157741153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350044416000).

157741153920 is an abundant number, since it is smaller than the sum of its proper divisors (542347678080).

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

157741153920 is a wasteful number, since it uses less digits than its factorization.

157741153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 157741153920 in words is "one hundred fifty-seven billion, seven hundred forty-one million, one hundred fifty-three thousand, nine hundred twenty".