137035272 has 64 divisors (see below), whose sum is σ = 383860800. Its totient is φ = 40400640.

The previous prime is 137035271. The next prime is 137035279. The reversal of 137035272 is 272530731.

It is a super-2 number, since 2×137035272² = 37557331544227968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137035271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2754 + ... + 16782.

It is an arithmetic number, because the mean of its divisors is an integer number (5997825).

Almost surely, 2^137035272 is an apocalyptic number.

137035272 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 137035272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191930400).

137035272 is an abundant number, since it is smaller than the sum of its proper divisors (246825528).

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

137035272 is a wasteful number, since it uses less digits than its factorization.

137035272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14086 (or 14082 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 137035272 is about 11706.2065589157. The cubic root of 137035272 is about 515.5579111097.

The spelling of 137035272 in words is "one hundred thirty-seven million, thirty-five thousand, two hundred seventy-two".