137121972 has 24 divisors (see below), whose sum is σ = 344563296. Its totient is φ = 42191328.

The previous prime is 137121931. The next prime is 137121973. The reversal of 137121972 is 279121731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137121973) 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, 439338 + ... + 439649.

It is an arithmetic number, because the mean of its divisors is an integer number (14356804).

Almost surely, 2^137121972 is an apocalyptic number.

137121972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137121972 is an abundant number, since it is smaller than the sum of its proper divisors (207441324).

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

137121972 is a wasteful number, since it uses less digits than its factorization.

137121972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879007 (or 879005 counting only the distinct ones).

The product of its digits is 5292, while the sum is 33.

The square root of 137121972 is about 11709.9091371368. The cubic root of 137121972 is about 515.6666165712. Note that the first 4 decimals are identical.

The spelling of 137121972 in words is "one hundred thirty-seven million, one hundred twenty-one thousand, nine hundred seventy-two".