137105920 has 120 divisors (see below), whose sum is σ = 382753404. Its totient is φ = 46964736.

The previous prime is 137105897. The next prime is 137105929. The reversal of 137105920 is 29501731.

It can be written as a sum of positive squares in 2 ways, for example, as 127961344 + 9144576 = 11312^2 + 3024^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (137105929) 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, 124894 + ... + 125986.

Almost surely, 2^137105920 is an apocalyptic number.

137105920 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 137105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191376702).

137105920 is an abundant number, since it is smaller than the sum of its proper divisors (245647484).

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

137105920 is an equidigital number, since it uses as much as digits as its factorization.

137105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 137105920 is about 11709.2237146619. The cubic root of 137105920 is about 515.6464938454.

The spelling of 137105920 in words is "one hundred thirty-seven million, one hundred five thousand, nine hundred twenty".