137438773860960 has 864 divisors, whose sum is σ = 576003310934688. Its totient is φ = 29418309550080.

The previous prime is 137438773860943. The next prime is 137438773860977. The reversal of 137438773860960 is 69068377834731.

137438773860960 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 3 + 8 + 7 + 7 + 3 + 8 + 609 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (137438773860943) and next prime (137438773860977).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108300832 + ... + 109562528.

It is an arithmetic number, because the mean of its divisors is an integer number (666670498767).

Almost surely, 2^{137438773860960} is an apocalyptic number.

137438773860960 is a gapful number since it is divisible by the number (10) 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 137438773860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288001655467344).

137438773860960 is an abundant number, since it is smaller than the sum of its proper divisors (438564537073728).

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

137438773860960 is a wasteful number, since it uses less digits than its factorization.

137438773860960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261788 (or 1261754 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 137438773860960 in words is "one hundred thirty-seven trillion, four hundred thirty-eight billion, seven hundred seventy-three million, eight hundred sixty thousand, nine hundred sixty".