137686272 has 72 divisors (see below), whose sum is σ = 372580320. Its totient is φ = 45127680.

The previous prime is 137686271. The next prime is 137686277. The reversal of 137686272 is 272686731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137686271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45379 + ... + 48317.

Almost surely, 2^137686272 is an apocalyptic number.

137686272 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 137686272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186290160).

137686272 is an abundant number, since it is smaller than the sum of its proper divisors (234894048).

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

137686272 is an equidigital number, since it uses as much as digits as its factorization.

137686272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 3005 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 137686272 is about 11733.9793761537. The cubic root of 137686272 is about 516.3730251429.

The spelling of 137686272 in words is "one hundred thirty-seven million, six hundred eighty-six thousand, two hundred seventy-two".