157251700 has 72 divisors (see below), whose sum is σ = 363773592. Its totient is φ = 58798080.

The previous prime is 157251691. The next prime is 157251719. The reversal of 157251700 is 7152751.

157251700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 30869136 + 126382564 = 5556^2 + 11242^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395902 + ... + 396298.

It is an arithmetic number, because the mean of its divisors is an integer number (5052411).

Almost surely, 2^157251700 is an apocalyptic number.

157251700 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 157251700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181886796).

157251700 is an abundant number, since it is smaller than the sum of its proper divisors (206521892).

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

157251700 is a wasteful number, since it uses less digits than its factorization.

157251700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 28.

The square root of 157251700 is about 12540.0039872402. The cubic root of 157251700 is about 539.7572068103.

The spelling of 157251700 in words is "one hundred fifty-seven million, two hundred fifty-one thousand, seven hundred".