137764040 has 16 divisors (see below), whose sum is σ = 309969180. Its totient is φ = 55105600.

The previous prime is 137764019. The next prime is 137764051. The reversal of 137764040 is 40467731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 137686756 + 77284 = 11734^2 + 278^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137763988 and 137764006.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1722011 + ... + 1722090.

Almost surely, 2^137764040 is an apocalyptic number.

137764040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137764040 is an abundant number, since it is smaller than the sum of its proper divisors (172205140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137764040 is a wasteful number, since it uses less digits than its factorization.

137764040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444112 (or 3444108 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 137764040 is about 11737.2927031748. The cubic root of 137764040 is about 516.4702261654.

The spelling of 137764040 in words is "one hundred thirty-seven million, seven hundred sixty-four thousand, forty".