137333472 has 48 divisors (see below), whose sum is σ = 372137472. Its totient is φ = 44300160.

The previous prime is 137333467. The next prime is 137333549. The reversal of 137333472 is 274333731.

It is a tau number, because it is divible by the number of its divisors (48).

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, 20098 + ... + 26049.

It is an arithmetic number, because the mean of its divisors is an integer number (7752864).

Almost surely, 2^137333472 is an apocalyptic number.

137333472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137333472 is an abundant number, since it is smaller than the sum of its proper divisors (234804000).

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

137333472 is a wasteful number, since it uses less digits than its factorization.

137333472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46191 (or 46183 counting only the distinct ones).

The product of its digits is 31752, while the sum is 33.

The square root of 137333472 is about 11718.9364705164. The cubic root of 137333472 is about 515.9316056215.

It can be divided in two parts, 13733 and 3472, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 137333472 in words is "one hundred thirty-seven million, three hundred thirty-three thousand, four hundred seventy-two".