157251120 has 120 divisors (see below), whose sum is σ = 527997456. Its totient is φ = 38697984.

The previous prime is 157251109. The next prime is 157251121. The reversal of 157251120 is 21152751.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (157251121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38622 + ... + 42498.

Almost surely, 2^157251120 is an apocalyptic number.

157251120 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 157251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263998728).

157251120 is an abundant number, since it is smaller than the sum of its proper divisors (370746336).

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

157251120 is a wasteful number, since it uses less digits than its factorization.

157251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 157251120 is about 12539.9808612294. The cubic root of 157251120 is about 539.7565432042.

The spelling of 157251120 in words is "one hundred fifty-seven million, two hundred fifty-one thousand, one hundred twenty".