137513616 has 20 divisors (see below), whose sum is σ = 355243632. Its totient is φ = 45837856.

The previous prime is 137513611. The next prime is 137513657. The reversal of 137513616 is 616315731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137513611) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1432386 + ... + 1432481.

Almost surely, 2^137513616 is an apocalyptic number.

137513616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137513616 is an abundant number, since it is smaller than the sum of its proper divisors (217730016).

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

137513616 is a wasteful number, since it uses less digits than its factorization.

137513616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864878 (or 2864872 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 137513616 is about 11726.6199733768. The cubic root of 137513616 is about 516.1570941671.

The spelling of 137513616 in words is "one hundred thirty-seven million, five hundred thirteen thousand, six hundred sixteen".