157655745 has 48 divisors (see below), whose sum is σ = 304471440. Its totient is φ = 74930688.

The previous prime is 157655723. The next prime is 157655753. The reversal of 157655745 is 547556751.

157655745 is a `hidden beast` number, since 1 + 5 + 76 + 5 + 574 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37161216 + 120494529 = 6096^2 + 10977^2 .

It is not a de Polignac number, because 157655745 - 2¹⁵ = 157622977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 157655745.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12319 + ... + 21611.

It is an arithmetic number, because the mean of its divisors is an integer number (6343155).

Almost surely, 2^157655745 is an apocalyptic number.

157655745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157655745 is a deficient number, since it is larger than the sum of its proper divisors (146815695).

157655745 is a wasteful number, since it uses less digits than its factorization.

157655745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346 (or 9343 counting only the distinct ones).

The product of its digits is 735000, while the sum is 45.

The square root of 157655745 is about 12556.1038941226. The cubic root of 157655745 is about 540.2190983343.

The spelling of 157655745 in words is "one hundred fifty-seven million, six hundred fifty-five thousand, seven hundred forty-five".