137376040 has 32 divisors (see below), whose sum is σ = 309825000. Its totient is φ = 54820864.

The previous prime is 137375957. The next prime is 137376047. The reversal of 137376040 is 40673731.

It can be written as a sum of positive squares in 4 ways, for example, as 81036004 + 56340036 = 9002^2 + 7506^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137375993 and 137376011.

It is not an unprimeable number, because it can be changed into a prime (137376047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14136 + ... + 21784.

Almost surely, 2^137376040 is an apocalyptic number.

137376040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137376040 is an abundant number, since it is smaller than the sum of its proper divisors (172448960).

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

137376040 is a wasteful number, since it uses less digits than its factorization.

137376040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8109 (or 8105 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 137376040 is about 11720.7525355670. The cubic root of 137376040 is about 515.9849063149.

The spelling of 137376040 in words is "one hundred thirty-seven million, three hundred seventy-six thousand, forty".