157042080 has 144 divisors (see below), whose sum is σ = 577198440. Its totient is φ = 38651904.

The previous prime is 157042069. The next prime is 157042099. The reversal of 157042080 is 80240751.

It can be written as a sum of positive squares in 4 ways, for example, as 126967824 + 30074256 = 11268^2 + 5484^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14526 + ... + 22914.

Almost surely, 2^157042080 is an apocalyptic number.

157042080 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 157042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288599220).

157042080 is an abundant number, since it is smaller than the sum of its proper divisors (420156360).

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

157042080 is a wasteful number, since it uses less digits than its factorization.

157042080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8423 (or 8412 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 157042080 is about 12531.6431484463. The cubic root of 157042080 is about 539.5172640574.

The spelling of 157042080 in words is "one hundred fifty-seven million, forty-two thousand, eighty".