157154296933920 has 384 divisors, whose sum is σ = 581891119729920. Its totient is φ = 35148630343680.

The previous prime is 157154296933919. The next prime is 157154296933969. The reversal of 157154296933920 is 29339692451751.

It is a super-2 number, since 2×157154296933920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128227386 + ... + 129447174.

It is an arithmetic number, because the mean of its divisors is an integer number (1515341457630).

Almost surely, 2^{157154296933920} is an apocalyptic number.

157154296933920 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 157154296933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290945559864960).

157154296933920 is an abundant number, since it is smaller than the sum of its proper divisors (424736822796000).

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

157154296933920 is a wasteful number, since it uses less digits than its factorization.

157154296933920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221708 (or 1221700 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 66.

The spelling of 157154296933920 in words is "one hundred fifty-seven trillion, one hundred fifty-four billion, two hundred ninety-six million, nine hundred thirty-three thousand, nine hundred twenty".