137806272 has 84 divisors (see below), whose sum is σ = 409672536. Its totient is φ = 45930240.

The previous prime is 137806217. The next prime is 137806283. The reversal of 137806272 is 272608731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11122 + ... + 19982.

It is an arithmetic number, because the mean of its divisors is an integer number (4877054).

Almost surely, 2^137806272 is an apocalyptic number.

137806272 is a gapful number since it is divisible by the number (12) 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 137806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204836268).

137806272 is an abundant number, since it is smaller than the sum of its proper divisors (271866264).

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

137806272 is an frugal number, since it uses more digits than its factorization.

137806272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 137806272 is about 11739.0916173271. The cubic root of 137806272 is about 516.5229959645.

The spelling of 137806272 in words is "one hundred thirty-seven million, eight hundred six thousand, two hundred seventy-two".