157665541 has 24 divisors (see below), whose sum is σ = 180785304. Its totient is φ = 137280000.

The previous prime is 157665517. The next prime is 157665551. The reversal of 157665541 is 145566751.

It can be written as a sum of positive squares in 4 ways, for example, as 13905441 + 143760100 = 3729^2 + 11990^2 .

It is not a de Polignac number, because 157665541 - 2⁵ = 157665509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 157665494 and 157665503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157665551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302361 + ... + 302881.

It is an arithmetic number, because the mean of its divisors is an integer number (7532721).

Almost surely, 2^157665541 is an apocalyptic number.

157665541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

157665541 is a deficient number, since it is larger than the sum of its proper divisors (23119763).

157665541 is a wasteful number, since it uses less digits than its factorization.

157665541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its digits is 126000, while the sum is 40.

The square root of 157665541 is about 12556.4939772215. The cubic root of 157665541 is about 540.2302870093.

The spelling of 157665541 in words is "one hundred fifty-seven million, six hundred sixty-five thousand, five hundred forty-one".