136372406688 has 144 divisors (see below), whose sum is σ = 445199279616. Its totient is φ = 38788692480.

The previous prime is 136372406647. The next prime is 136372406711. The reversal of 136372406688 is 886604273631.

136372406688 is a `hidden beast` number, since 136 + 372 + 4 + 0 + 66 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297898 + ... + 601238.

It is an arithmetic number, because the mean of its divisors is an integer number (3091661664).

Almost surely, 2^136372406688 is an apocalyptic number.

136372406688 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 136372406688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222599639808).

136372406688 is an abundant number, since it is smaller than the sum of its proper divisors (308826872928).

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

136372406688 is a wasteful number, since it uses less digits than its factorization.

136372406688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303587 (or 303576 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 136372406688 in words is "one hundred thirty-six billion, three hundred seventy-two million, four hundred six thousand, six hundred eighty-eight".