137672360 has 48 divisors (see below), whose sum is σ = 360341460. Its totient is φ = 47201280.

The previous prime is 137672351. The next prime is 137672371. The reversal of 137672360 is 63276731.

It is a happy number.

137672360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 125126596 + 12545764 = 11186^2 + 3542^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 137672360.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33161 + ... + 37080.

Almost surely, 2^137672360 is an apocalyptic number.

137672360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137672360 is an abundant number, since it is smaller than the sum of its proper divisors (222669100).

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

137672360 is a wasteful number, since it uses less digits than its factorization.

137672360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70266 (or 70255 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 35.

The square root of 137672360 is about 11733.3865529096. The cubic root of 137672360 is about 516.3556328898.

The spelling of 137672360 in words is "one hundred thirty-seven million, six hundred seventy-two thousand, three hundred sixty".