157154125896000 has 2688 divisors, whose sum is σ = 620422486295040. Its totient is φ = 37834407936000.

The previous prime is 157154125895953. The next prime is 157154125896013. The reversal of 157154125896000 is 698521451751.

157154125896000 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 5 + 4 + 1 + 25 + 8 + 9 + 600 + 0 = 666.

157154125896000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×157154125896000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 908405351914 + ... + 908405352086.

Almost surely, 2^{157154125896000} is an apocalyptic number.

157154125896000 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 157154125896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310211243147520).

157154125896000 is an abundant number, since it is smaller than the sum of its proper divisors (463268360399040).

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

157154125896000 is a wasteful number, since it uses less digits than its factorization.

157154125896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 157154125896000 in words is "one hundred fifty-seven trillion, one hundred fifty-four billion, one hundred twenty-five million, eight hundred ninety-six thousand".