137437872 has 80 divisors (see below), whose sum is σ = 417139968. Its totient is φ = 38442240.

The previous prime is 137437829. The next prime is 137437879. The reversal of 137437872 is 278734731.

137437872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×137437872³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (137437879) 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, 3148 + ... + 16875.

Almost surely, 2^137437872 is an apocalyptic number.

137437872 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 137437872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208569984).

137437872 is an abundant number, since it is smaller than the sum of its proper divisors (279702096).

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

137437872 is a wasteful number, since it uses less digits than its factorization.

137437872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20058 (or 20052 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 137437872 is about 11723.3899534222. The cubic root of 137437872 is about 516.0623084424.

The spelling of 137437872 in words is "one hundred thirty-seven million, four hundred thirty-seven thousand, eight hundred seventy-two".