137955753 has 12 divisors (see below), whose sum is σ = 214598020. Its totient is φ = 84895776.

The previous prime is 137955737. The next prime is 137955761. The reversal of 137955753 is 357559731.

137955753 is a `hidden beast` number, since 1 + 3 + 79 + 5 + 575 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34892649 + 103063104 = 5907^2 + 10152^2 .

It is not a de Polignac number, because 137955753 - 2⁴ = 137955737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137955699 and 137955708.

It is not an unprimeable number, because it can be changed into a prime (137955553) 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 11 ways as a sum of consecutive naturals, for example, 589438 + ... + 589671.

Almost surely, 2^137955753 is an apocalyptic number.

137955753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137955753 is a deficient number, since it is larger than the sum of its proper divisors (76642267).

137955753 is a wasteful number, since it uses less digits than its factorization.

137955753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179128 (or 1179125 counting only the distinct ones).

The product of its digits is 496125, while the sum is 45.

The square root of 137955753 is about 11745.4566961017. The cubic root of 137955753 is about 516.7096891449.

The spelling of 137955753 in words is "one hundred thirty-seven million, nine hundred fifty-five thousand, seven hundred fifty-three".