157077120 has 128 divisors (see below), whose sum is σ = 522599040. Its totient is φ = 40054784.

The previous prime is 157077113. The next prime is 157077121. The reversal of 157077120 is 21770751.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (157077121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42382 + ... + 45938.

It is an arithmetic number, because the mean of its divisors is an integer number (4082805).

Almost surely, 2^157077120 is an apocalyptic number.

157077120 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 157077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261299520).

157077120 is an abundant number, since it is smaller than the sum of its proper divisors (365521920).

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

157077120 is a wasteful number, since it uses less digits than its factorization.

157077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 30.

The square root of 157077120 is about 12533.0411313456. The cubic root of 157077120 is about 539.5573876537.

The spelling of 157077120 in words is "one hundred fifty-seven million, seventy-seven thousand, one hundred twenty".