137927493456 has 160 divisors (see below), whose sum is σ = 391482979200. Its totient is φ = 41650667520.

The previous prime is 137927493419. The next prime is 137927493499. The reversal of 137927493456 is 654394729731.

It is a happy number.

It is a super-4 number, since 4×137927493456⁴ (a number of 46 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137927493456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7823980 + ... + 7841588.

It is an arithmetic number, because the mean of its divisors is an integer number (2446768620).

Almost surely, 2^137927493456 is an apocalyptic number.

137927493456 is a gapful number since it is divisible by the number (16) 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 137927493456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195741489600).

137927493456 is an abundant number, since it is smaller than the sum of its proper divisors (253555485744).

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

137927493456 is a wasteful number, since it uses less digits than its factorization.

137927493456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17997 (or 17991 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 60.

The spelling of 137927493456 in words is "one hundred thirty-seven billion, nine hundred twenty-seven million, four hundred ninety-three thousand, four hundred fifty-six".