137838300613 has 8 divisors (see below), whose sum is σ = 148444380000. Its totient is φ = 127232668848.

The previous prime is 137838300577. The next prime is 137838300617. The reversal of 137838300613 is 316003838731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137838300613 - 2³⁷ = 399347141 is a prime.

It is a super-3 number, since 3×137838300613³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137838300613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137838300617) 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, 807438 + ... + 963136.

It is an arithmetic number, because the mean of its divisors is an integer number (18555547500).

Almost surely, 2^137838300613 is an apocalyptic number.

137838300613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137838300613 is a deficient number, since it is larger than the sum of its proper divisors (10606079387).

137838300613 is a wasteful number, since it uses less digits than its factorization.

137838300613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223811.

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 137838300613 in words is "one hundred thirty-seven billion, eight hundred thirty-eight million, three hundred thousand, six hundred thirteen".