157685290100 has 144 divisors (see below), whose sum is σ = 393827168448. Its totient is φ = 54284482560.

The previous prime is 157685290099. The next prime is 157685290123. The reversal of 157685290100 is 1092586751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2331359 + ... + 2398041.

It is an arithmetic number, because the mean of its divisors is an integer number (2734910892).

Almost surely, 2^157685290100 is an apocalyptic number.

157685290100 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 157685290100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196913584224).

157685290100 is an abundant number, since it is smaller than the sum of its proper divisors (236141878348).

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

157685290100 is a wasteful number, since it uses less digits than its factorization.

157685290100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66834 (or 66827 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 44.

The spelling of 157685290100 in words is "one hundred fifty-seven billion, six hundred eighty-five million, two hundred ninety thousand, one hundred".