136376149125888 has 720 divisors, whose sum is σ = 467597070065664. Its totient is φ = 38725601402880.

The previous prime is 136376149125869. The next prime is 136376149125911. The reversal of 136376149125888 is 888521941673631.

136376149125888 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 7 + 6 + 1 + 491 + 2 + 58 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57860053606 + ... + 57860055962.

Almost surely, 2^{136376149125888} is an apocalyptic number.

136376149125888 is a gapful number since it is divisible by the number (18) 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 136376149125888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233798535032832).

136376149125888 is an abundant number, since it is smaller than the sum of its proper divisors (331220920939776).

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

136376149125888 is a wasteful number, since it uses less digits than its factorization.

136376149125888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 4647 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 136376149125888 in words is "one hundred thirty-six trillion, three hundred seventy-six billion, one hundred forty-nine million, one hundred twenty-five thousand, eight hundred eighty-eight".