137077540 has 12 divisors (see below), whose sum is σ = 287862876. Its totient is φ = 54831008.

The previous prime is 137077537. The next prime is 137077541. The reversal of 137077540 is 45770731.

137077540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 75203584 + 61873956 = 8672^2 + 7866^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137077496 and 137077505.

It is not an unprimeable number, because it can be changed into a prime (137077541) 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 3 ways as a sum of consecutive naturals, for example, 3426919 + ... + 3426958.

It is an arithmetic number, because the mean of its divisors is an integer number (23988573).

Almost surely, 2^137077540 is an apocalyptic number.

137077540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137077540 is an abundant number, since it is smaller than the sum of its proper divisors (150785336).

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

137077540 is a wasteful number, since it uses less digits than its factorization.

137077540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853886 (or 6853884 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 34.

The square root of 137077540 is about 11708.0117868065. The cubic root of 137077540 is about 515.6109129424.

The spelling of 137077540 in words is "one hundred thirty-seven million, seventy-seven thousand, five hundred forty".