137348460 has 144 divisors (see below), whose sum is σ = 440294400. Its totient is φ = 35930304.

The previous prime is 137348443. The next prime is 137348489. The reversal of 137348460 is 64843731.

137348460 is digitally balanced in base 2, 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286501 + ... + 286979.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2^137348460 is an apocalyptic number.

137348460 is a gapful number since it is divisible by the number (10) 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 137348460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

137348460 is an abundant number, since it is smaller than the sum of its proper divisors (302945940).

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

137348460 is a wasteful number, since it uses less digits than its factorization.

137348460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 137348460 is about 11719.5759308944. The cubic root of 137348460 is about 515.9503738104.

The spelling of 137348460 in words is "one hundred thirty-seven million, three hundred forty-eight thousand, four hundred sixty".