137657010 has 32 divisors (see below), whose sum is σ = 330802560. Its totient is φ = 36661248.

The previous prime is 137656993. The next prime is 137657011. The reversal of 137657010 is 10756731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (137657011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25074 + ... + 30066.

It is an arithmetic number, because the mean of its divisors is an integer number (10337580).

Almost surely, 2^137657010 is an apocalyptic number.

137657010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137657010 is an abundant number, since it is smaller than the sum of its proper divisors (193145550).

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

137657010 is a wasteful number, since it uses less digits than its factorization.

137657010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922.

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 137657010 is about 11732.7324183244. The cubic root of 137657010 is about 516.3364415441.

The spelling of 137657010 in words is "one hundred thirty-seven million, six hundred fifty-seven thousand, ten".