137766057 has 32 divisors (see below), whose sum is σ = 218889216. Its totient is φ = 75969600.

The previous prime is 137766001. The next prime is 137766091. The reversal of 137766057 is 750667731.

It is not a de Polignac number, because 137766057 - 2¹¹ = 137764009 is a prime.

It is a super-2 number, since 2×137766057² = 37958972922654498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137762057) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28198 + ... + 32720.

It is an arithmetic number, because the mean of its divisors is an integer number (6840288).

Almost surely, 2^137766057 is an apocalyptic number.

It is an amenable number.

137766057 is a deficient number, since it is larger than the sum of its proper divisors (81123159).

137766057 is a wasteful number, since it uses less digits than its factorization.

137766057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621.

The product of its (nonzero) digits is 185220, while the sum is 42.

The square root of 137766057 is about 11737.3786255705. The cubic root of 137766057 is about 516.4727466958.

The spelling of 137766057 in words is "one hundred thirty-seven million, seven hundred sixty-six thousand, fifty-seven".