137100372 has 12 divisors (see below), whose sum is σ = 319900896. Its totient is φ = 45700120.

The previous prime is 137100349. The next prime is 137100389. The reversal of 137100372 is 273001731.

137100372 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5712504 + ... + 5712527.

It is an arithmetic number, because the mean of its divisors is an integer number (26658408).

Almost surely, 2^137100372 is an apocalyptic number.

137100372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137100372 is an abundant number, since it is smaller than the sum of its proper divisors (182800524).

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

137100372 is a wasteful number, since it uses less digits than its factorization.

137100372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11425038 (or 11425036 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 137100372 is about 11708.9868050143. The cubic root of 137100372 is about 515.6395385285.

The spelling of 137100372 in words is "one hundred thirty-seven million, one hundred thousand, three hundred seventy-two".