157075667541 has 24 divisors (see below), whose sum is σ = 252765447480. Its totient is φ = 93328776576.

The previous prime is 157075667537. The next prime is 157075667569. The reversal of 157075667541 is 145766570751.

157075667541 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 7 + 566 + 75 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 366569316 + 156709098225 = 19146^2 + 395865^2 .

It is not a de Polignac number, because 157075667541 - 2² = 157075667537 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157075667591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23143626 + ... + 23150411.

It is an arithmetic number, because the mean of its divisors is an integer number (10531893645).

Almost surely, 2^157075667541 is an apocalyptic number.

It is an amenable number.

157075667541 is a deficient number, since it is larger than the sum of its proper divisors (95689779939).

157075667541 is a wasteful number, since it uses less digits than its factorization.

157075667541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46294085 (or 46294082 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 54.

The spelling of 157075667541 in words is "one hundred fifty-seven billion, seventy-five million, six hundred sixty-seven thousand, five hundred forty-one".