137044872 has 80 divisors (see below), whose sum is σ = 404091600. Its totient is φ = 43273440.

The previous prime is 137044867. The next prime is 137044877. The reversal of 137044872 is 278440731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137044867) and next prime (137044877).

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

It is not an unprimeable number, because it can be changed into a prime (137044877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6747 + ... + 17877.

It is an arithmetic number, because the mean of its divisors is an integer number (5051145).

Almost surely, 2^137044872 is an apocalyptic number.

137044872 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 137044872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202045800).

137044872 is an abundant number, since it is smaller than the sum of its proper divisors (267046728).

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

137044872 is a wasteful number, since it uses less digits than its factorization.

137044872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11168 (or 11155 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 137044872 is about 11706.6165906294. The cubic root of 137044872 is about 515.5699499576.

The spelling of 137044872 in words is "one hundred thirty-seven million, forty-four thousand, eight hundred seventy-two".