157154295290880 has 1408 divisors, whose sum is σ = 580310940672000. Its totient is φ = 36091708047360.

The previous prime is 157154295290873. The next prime is 157154295290897. The reversal of 157154295290880 is 88092592451751.

It is a happy number.

It is a super-2 number, since 2×157154295290880² (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 127 ways as a sum of consecutive naturals, for example, 9707465826 + ... + 9707482014.

Almost surely, 2^{157154295290880} is an apocalyptic number.

157154295290880 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 157154295290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290155470336000).

157154295290880 is an abundant number, since it is smaller than the sum of its proper divisors (423156645381120).

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

157154295290880 is a wasteful number, since it uses less digits than its factorization.

157154295290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16333 (or 16315 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 66.

The spelling of 157154295290880 in words is "one hundred fifty-seven trillion, one hundred fifty-four billion, two hundred ninety-five million, two hundred ninety thousand, eight hundred eighty".