137312380 has 24 divisors (see below), whose sum is σ = 294493248. Its totient is φ = 53755968.

The previous prime is 137312353. The next prime is 137312381. The reversal of 137312380 is 83213731.

137312380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137312381) 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, 72099 + ... + 73978.

It is an arithmetic number, because the mean of its divisors is an integer number (12270552).

Almost surely, 2^137312380 is an apocalyptic number.

137312380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137312380 is an abundant number, since it is smaller than the sum of its proper divisors (157180868).

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

137312380 is a wasteful number, since it uses less digits than its factorization.

137312380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146133 (or 146131 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 137312380 is about 11718.0365249473. The cubic root of 137312380 is about 515.9051916031.

The spelling of 137312380 in words is "one hundred thirty-seven million, three hundred twelve thousand, three hundred eighty".