137004072 has 32 divisors (see below), whose sum is σ = 342876480. Its totient is φ = 45619200.

The previous prime is 137004067. The next prime is 137004073. The reversal of 137004072 is 270400731.

137004072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (137004073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25197 + ... + 30147.

It is an arithmetic number, because the mean of its divisors is an integer number (10714890).

Almost surely, 2^137004072 is an apocalyptic number.

137004072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137004072 is an abundant number, since it is smaller than the sum of its proper divisors (205872408).

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

137004072 is a wasteful number, since it uses less digits than its factorization.

137004072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6113 (or 6109 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 137004072 is about 11704.8738566462. The cubic root of 137004072 is about 515.5187809706.

The spelling of 137004072 in words is "one hundred thirty-seven million, four thousand, seventy-two".