137279191946988 has 768 divisors, whose sum is σ = 420134389678080. Its totient is φ = 33924062822400.

The previous prime is 137279191946899. The next prime is 137279191947013. The reversal of 137279191946988 is 889649191972731.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a self number, because there is not a number n which added to its sum of digits gives 137279191946988.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52617550228 + ... + 52617552836.

It is an arithmetic number, because the mean of its divisors is an integer number (547049986560).

Almost surely, 2^{137279191946988} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137279191946988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210067194839040).

137279191946988 is an abundant number, since it is smaller than the sum of its proper divisors (282855197731092).

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

137279191946988 is a wasteful number, since it uses less digits than its factorization.

137279191946988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3116 counting only the distinct ones).

The product of its digits is 2962842624, while the sum is 84.

The spelling of 137279191946988 in words is "one hundred thirty-seven trillion, two hundred seventy-nine billion, one hundred ninety-one million, nine hundred forty-six thousand, nine hundred eighty-eight".