137790972 has 36 divisors (see below), whose sum is σ = 379970136. Its totient is φ = 41754720.

The previous prime is 137790959. The next prime is 137790979. The reversal of 137790972 is 279097731.

137790972 is digitally balanced in base 2, because in such base 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137790979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173583 + ... + 174374.

It is an arithmetic number, because the mean of its divisors is an integer number (10554726).

Almost surely, 2^137790972 is an apocalyptic number.

137790972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137790972 is an abundant number, since it is smaller than the sum of its proper divisors (242179164).

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

137790972 is a wasteful number, since it uses less digits than its factorization.

137790972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347978 (or 347973 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 137790972 is about 11738.4399304166. The cubic root of 137790972 is about 516.5038795285.

The spelling of 137790972 in words is "one hundred thirty-seven million, seven hundred ninety thousand, nine hundred seventy-two".