136838257416 has 256 divisors, whose sum is σ = 448998604800. Its totient is φ = 37786694400.

The previous prime is 136838257379. The next prime is 136838257459. The reversal of 136838257416 is 614752838631.

136838257416 is a `hidden beast` number, since 1 + 3 + 68 + 3 + 8 + 2 + 574 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 51229761 + ... + 51232431.

It is an arithmetic number, because the mean of its divisors is an integer number (1753900800).

Almost surely, 2^136838257416 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 136838257416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224499302400).

136838257416 is an abundant number, since it is smaller than the sum of its proper divisors (312160347384).

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

136838257416 is a wasteful number, since it uses less digits than its factorization.

136838257416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817 (or 3807 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 136838257416 in words is "one hundred thirty-six billion, eight hundred thirty-eight million, two hundred fifty-seven thousand, four hundred sixteen".