157070146800 has 360 divisors, whose sum is σ = 619727696496. Its totient is φ = 33789665280.

The previous prime is 157070146763. The next prime is 157070146823. The reversal of 157070146800 is 8641070751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 921034 + ... + 1078166.

Almost surely, 2^157070146800 is an apocalyptic number.

157070146800 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 157070146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309863848248).

157070146800 is an abundant number, since it is smaller than the sum of its proper divisors (462657549696).

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

157070146800 is a wasteful number, since it uses less digits than its factorization.

157070146800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157185 (or 157167 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 157070146800 in words is "one hundred fifty-seven billion, seventy million, one hundred forty-six thousand, eight hundred".