137859262464 has 768 divisors, whose sum is σ = 493758720000. Its totient is φ = 33814609920.

The previous prime is 137859262451. The next prime is 137859262501. The reversal of 137859262464 is 464262958731.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440444772 + ... + 440445084.

It is an arithmetic number, because the mean of its divisors is an integer number (642915000).

Almost surely, 2^137859262464 is an apocalyptic number.

137859262464 is a gapful number since it is divisible by the number (14) 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 137859262464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246879360000).

137859262464 is an abundant number, since it is smaller than the sum of its proper divisors (355899457536).

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

137859262464 is a wasteful number, since it uses less digits than its factorization.

137859262464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 355 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The spelling of 137859262464 in words is "one hundred thirty-seven billion, eight hundred fifty-nine million, two hundred sixty-two thousand, four hundred sixty-four".