137072260 has 48 divisors (see below), whose sum is σ = 310993200. Its totient is φ = 50448384.

The previous prime is 137072239. The next prime is 137072291. The reversal of 137072260 is 62270731.

It can be written as a sum of positive squares in 8 ways, for example, as 2883204 + 134189056 = 1698^2 + 11584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105696 + ... + 106984.

It is an arithmetic number, because the mean of its divisors is an integer number (6479025).

Almost surely, 2^137072260 is an apocalyptic number.

137072260 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 137072260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155496600).

137072260 is an abundant number, since it is smaller than the sum of its proper divisors (173920940).

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

137072260 is a wasteful number, since it uses less digits than its factorization.

137072260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 137072260 is about 11707.7862980155. The cubic root of 137072260 is about 515.6042926976.

The spelling of 137072260 in words is "one hundred thirty-seven million, seventy-two thousand, two hundred sixty".