137653460 has 24 divisors (see below), whose sum is σ = 330368640. Its totient is φ = 47195424.

The previous prime is 137653457. The next prime is 137653469. The reversal of 137653460 is 64356731.

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 137653460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137653469) 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, 491480 + ... + 491759.

It is an arithmetic number, because the mean of its divisors is an integer number (13765360).

Almost surely, 2^137653460 is an apocalyptic number.

137653460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137653460 is an abundant number, since it is smaller than the sum of its proper divisors (192715180).

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

137653460 is a wasteful number, since it uses less digits than its factorization.

137653460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983255 (or 983253 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 137653460 is about 11732.5811311919. The cubic root of 137653460 is about 516.3320029516.

The spelling of 137653460 in words is "one hundred thirty-seven million, six hundred fifty-three thousand, four hundred sixty".