157006080 has 576 divisors, whose sum is σ = 706406400. Its totient is φ = 32071680.

The previous prime is 157006039. The next prime is 157006081. The reversal of 157006080 is 80600751.

157006080 is a `hidden beast` number, since 1 + 57 + 0 + 0 + 608 + 0 = 666.

157006080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (157006081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2661091 + ... + 2661149.

It is an arithmetic number, because the mean of its divisors is an integer number (1226400).

Almost surely, 2^157006080 is an apocalyptic number.

157006080 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 157006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353203200).

157006080 is an abundant number, since it is smaller than the sum of its proper divisors (549400320).

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

157006080 is a wasteful number, since it uses less digits than its factorization.

157006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 157006080 is about 12530.2067022057. The cubic root of 157006080 is about 539.4760349681.

The spelling of 157006080 in words is "one hundred fifty-seven million, six thousand, eighty".