136192442880 has 640 divisors, whose sum is σ = 494176370688. Its totient is φ = 31746097152.

The previous prime is 136192442819. The next prime is 136192442923. The reversal of 136192442880 is 88244291631.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 291632407 + ... + 291632873.

Almost surely, 2^136192442880 is an apocalyptic number.

136192442880 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 136192442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247088185344).

136192442880 is an abundant number, since it is smaller than the sum of its proper divisors (357983927808).

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

136192442880 is a wasteful number, since it uses less digits than its factorization.

136192442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 136192442880 in words is "one hundred thirty-six billion, one hundred ninety-two million, four hundred forty-two thousand, eight hundred eighty".