136032794589888 has 672 divisors, whose sum is σ = 456566620723200. Its totient is φ = 37920126246912.

The previous prime is 136032794589841. The next prime is 136032794589899. The reversal of 136032794589888 is 888985497230631.

136032794589888 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 3 + 2 + 79 + 458 + 98 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×136032794589888² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35582732745 + ... + 35582736567.

It is a 1-persistent number, because it is pandigital, but 2⋅136032794589888 = 272065589179776 is not.

Almost surely, 2^{136032794589888} is an apocalyptic number.

136032794589888 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 136032794589888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228283310361600).

136032794589888 is an abundant number, since it is smaller than the sum of its proper divisors (320533826133312).

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

136032794589888 is a wasteful number, since it uses less digits than its factorization.

136032794589888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 5016453120, while the sum is 81.

The spelling of 136032794589888 in words is "one hundred thirty-six trillion, thirty-two billion, seven hundred ninety-four million, five hundred eighty-nine thousand, eight hundred eighty-eight".