137856100 has 18 divisors (see below), whose sum is σ = 299147954. Its totient is φ = 55142400.

The previous prime is 137856091. The next prime is 137856107. The reversal of 137856100 is 1658731.

It can be written as a sum of positive squares in 3 ways, for example, as 21086464 + 116769636 = 4592^2 + 10806^2 .

It is not an unprimeable number, because it can be changed into a prime (137856107) 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 5 ways as a sum of consecutive naturals, for example, 689181 + ... + 689380.

Almost surely, 2^137856100 is an apocalyptic number.

137856100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137856100 is an abundant number, since it is smaller than the sum of its proper divisors (161291854).

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

137856100 is a wasteful number, since it uses less digits than its factorization.

137856100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378575 (or 1378568 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 137856100 is about 11741.2137362370. The cubic root of 137856100 is about 516.5852432678.

The spelling of 137856100 in words is "one hundred thirty-seven million, eight hundred fifty-six thousand, one hundred".