137100720 has 80 divisors (see below), whose sum is σ = 435409632. Its totient is φ = 35665920.

The previous prime is 137100709. The next prime is 137100731. The reversal of 137100720 is 27001731.

It is an interprime number because it is at equal distance from previous prime (137100709) and next prime (137100731).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2874 + ... + 16806.

Almost surely, 2^137100720 is an apocalyptic number.

137100720 is a gapful number since it is divisible by the number (10) 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 137100720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217704816).

137100720 is an abundant number, since it is smaller than the sum of its proper divisors (298308912).

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

137100720 is a wasteful number, since it uses less digits than its factorization.

137100720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13990 (or 13984 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 137100720 is about 11709.0016653855. The cubic root of 137100720 is about 515.6399748084.

The spelling of 137100720 in words is "one hundred thirty-seven million, one hundred thousand, seven hundred twenty".