137100960 has 144 divisors (see below), whose sum is σ = 492579360. Its totient is φ = 34629120.

The previous prime is 137100959. The next prime is 137100967. The reversal of 137100960 is 69001731.

137100960 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 (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (137100967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24855 + ... + 29865.

It is an arithmetic number, because the mean of its divisors is an integer number (3420690).

Almost surely, 2^137100960 is an apocalyptic number.

137100960 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 137100960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246289680).

137100960 is an abundant number, since it is smaller than the sum of its proper divisors (355478400).

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

137100960 is a wasteful number, since it uses less digits than its factorization.

137100960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 137100960 is about 11709.0119139063. The cubic root of 137100960 is about 515.6402756907.

The spelling of 137100960 in words is "one hundred thirty-seven million, one hundred thousand, nine hundred sixty".