157250100 has 144 divisors (see below), whose sum is σ = 525744128. Its totient is φ = 35544960.

The previous prime is 157250087. The next prime is 157250117. The reversal of 157250100 is 1052751.

157250100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 215937 + ... + 216663.

Almost surely, 2^157250100 is an apocalyptic number.

157250100 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 157250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262872064).

157250100 is an abundant number, since it is smaller than the sum of its proper divisors (368494028).

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

157250100 is a wasteful number, since it uses less digits than its factorization.

157250100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 157250100 is about 12539.9401912449. The cubic root of 157250100 is about 539.7553761689.

The spelling of 157250100 in words is "one hundred fifty-seven million, two hundred fifty thousand, one hundred".