137884272 has 40 divisors (see below), whose sum is σ = 361226880. Its totient is φ = 45312960.

The previous prime is 137884261. The next prime is 137884283. The reversal of 137884272 is 272488731.

137884272 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137884261) and next prime (137884283).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16822 + ... + 23637.

It is an arithmetic number, because the mean of its divisors is an integer number (9030672).

Almost surely, 2^137884272 is an apocalyptic number.

137884272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137884272 is an abundant number, since it is smaller than the sum of its proper divisors (223342608).

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

137884272 is a wasteful number, since it uses less digits than its factorization.

137884272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40541 (or 40535 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 137884272 is about 11742.4133805619. The cubic root of 137884272 is about 516.6204303173.

The spelling of 137884272 in words is "one hundred thirty-seven million, eight hundred eighty-four thousand, two hundred seventy-two".