137513628 has 72 divisors (see below), whose sum is σ = 398361600. Its totient is φ = 39180960.

The previous prime is 137513611. The next prime is 137513657. The reversal of 137513628 is 826315731.

137513628 is a `hidden beast` number, since 13 + 7 + 5 + 13 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137513592 and 137513601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150493 + ... + 151403.

It is an arithmetic number, because the mean of its divisors is an integer number (5532800).

Almost surely, 2^137513628 is an apocalyptic number.

137513628 is a gapful number since it is divisible by the number (18) 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 137513628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199180800).

137513628 is an abundant number, since it is smaller than the sum of its proper divisors (260847972).

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

137513628 is a wasteful number, since it uses less digits than its factorization.

137513628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1522 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 137513628 is about 11726.6204850332. The cubic root of 137513628 is about 516.1571091811.

The spelling of 137513628 in words is "one hundred thirty-seven million, five hundred thirteen thousand, six hundred twenty-eight".