137106972 has 96 divisors (see below), whose sum is σ = 383745600. Its totient is φ = 42172416.

The previous prime is 137106971. The next prime is 137107039. The reversal of 137106972 is 279601731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137106971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96604 + ... + 98012.

It is an arithmetic number, because the mean of its divisors is an integer number (3997350).

Almost surely, 2^137106972 is an apocalyptic number.

137106972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137106972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191872800).

137106972 is an abundant number, since it is smaller than the sum of its proper divisors (246638628).

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

137106972 is a wasteful number, since it uses less digits than its factorization.

137106972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 137106972 is about 11709.2686364264. The cubic root of 137106972 is about 515.6478126766.

The spelling of 137106972 in words is "one hundred thirty-seven million, one hundred six thousand, nine hundred seventy-two".