137713512 has 48 divisors (see below), whose sum is σ = 359936640. Its totient is φ = 43904608.

The previous prime is 137713507. The next prime is 137713529. The reversal of 137713512 is 215317731.

It is a super-2 number, since 2×137713512² = 37930022774748288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137713512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7273 + ... + 18119.

It is an arithmetic number, because the mean of its divisors is an integer number (7498680).

Almost surely, 2^137713512 is an apocalyptic number.

137713512 is a gapful number since it is divisible by the number (12) 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 137713512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179968320).

137713512 is an abundant number, since it is smaller than the sum of its proper divisors (222223128).

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

137713512 is a wasteful number, since it uses less digits than its factorization.

137713512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902 (or 10875 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 137713512 is about 11735.1400502934. The cubic root of 137713512 is about 516.4070761622.

The spelling of 137713512 in words is "one hundred thirty-seven million, seven hundred thirteen thousand, five hundred twelve".