157114080 has 192 divisors, whose sum is σ = 557928000. Its totient is φ = 41803776.

The previous prime is 157114079. The next prime is 157114121. The reversal of 157114080 is 80411751.

157114080 is a `hidden beast` number, since 1 + 571 + 14 + 0 + 80 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349696 + ... + 350144.

It is an arithmetic number, because the mean of its divisors is an integer number (2905875).

Almost surely, 2^157114080 is an apocalyptic number.

157114080 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 157114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278964000).

157114080 is an abundant number, since it is smaller than the sum of its proper divisors (400813920).

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

157114080 is an frugal number, since it uses more digits than its factorization.

157114080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 157114080 is about 12534.5155470804. The cubic root of 157114080 is about 539.5997033374.

It can be divided in two parts, 15711 and 4080, that added together give a palindrome (19791).

The spelling of 157114080 in words is "one hundred fifty-seven million, one hundred fourteen thousand, eighty".