157500945 has 36 divisors (see below), whose sum is σ = 317577780. Its totient is φ = 71999424.

The previous prime is 157500877. The next prime is 157500961. The reversal of 157500945 is 549005751.

It can be written as a sum of positive squares in 2 ways, for example, as 23126481 + 134374464 = 4809^2 + 11592^2 .

It is not a de Polignac number, because 157500945 - 2⁹ = 157500433 is a prime.

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 35 ways as a sum of consecutive naturals, for example, 33510 + ... + 37919.

It is an arithmetic number, because the mean of its divisors is an integer number (8821605).

Almost surely, 2^157500945 is an apocalyptic number.

157500945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157500945 is an abundant number, since it is smaller than the sum of its proper divisors (160076835).

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

157500945 is a wasteful number, since it uses less digits than its factorization.

157500945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71454 (or 71444 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 157500945 is about 12549.9380476559. The cubic root of 157500945 is about 540.0422292078.

The spelling of 157500945 in words is "one hundred fifty-seven million, five hundred thousand, nine hundred forty-five".