137257064 has 32 divisors (see below), whose sum is σ = 309604800. Its totient is φ = 55728000.

The previous prime is 137257063. The next prime is 137257097. The reversal of 137257064 is 460752731.

137257064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137257063) 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, 63437 + ... + 65564.

It is an arithmetic number, because the mean of its divisors is an integer number (9675150).

Almost surely, 2^137257064 is an apocalyptic number.

137257064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137257064 is an abundant number, since it is smaller than the sum of its proper divisors (172347736).

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

137257064 is a wasteful number, since it uses less digits than its factorization.

137257064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129033 (or 129029 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 137257064 is about 11715.6759941542. The cubic root of 137257064 is about 515.8359051956.

The spelling of 137257064 in words is "one hundred thirty-seven million, two hundred fifty-seven thousand, sixty-four".