136894095360 has 1120 divisors, whose sum is σ = 557212829184. Its totient is φ = 32115916800.

The previous prime is 136894095337. The next prime is 136894095409. The reversal of 136894095360 is 63590498631.

136894095360 is a `hidden beast` number, since 1 + 3 + 68 + 9 + 40 + 9 + 536 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 136894095297 and 136894095306.

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, 4415938545 + ... + 4415938575.

Almost surely, 2^136894095360 is an apocalyptic number.

136894095360 is a gapful number since it is divisible by the number (10) 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 136894095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278606414592).

136894095360 is an abundant number, since it is smaller than the sum of its proper divisors (420318733824).

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

136894095360 is an frugal number, since it uses more digits than its factorization.

136894095360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 136894095360 in words is "one hundred thirty-six billion, eight hundred ninety-four million, ninety-five thousand, three hundred sixty".