137637740 has 24 divisors (see below), whose sum is σ = 289452912. Its totient is φ = 54976320.

The previous prime is 137637739. The next prime is 137637791. The reversal of 137637740 is 47736731.

137637740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137637694 and 137637703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10595 + ... + 19685.

It is an arithmetic number, because the mean of its divisors is an integer number (12060538).

Almost surely, 2^137637740 is an apocalyptic number.

137637740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137637740 is an abundant number, since it is smaller than the sum of its proper divisors (151815172).

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

137637740 is a wasteful number, since it uses less digits than its factorization.

137637740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9857 (or 9855 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 38.

The square root of 137637740 is about 11731.9111827528. The cubic root of 137637740 is about 516.3123471965.

The spelling of 137637740 in words is "one hundred thirty-seven million, six hundred thirty-seven thousand, seven hundred forty".