136275048000 has 1120 divisors, whose sum is σ = 620754021888. Its totient is φ = 28740096000.

The previous prime is 136275047999. The next prime is 136275048011. The reversal of 136275048000 is 840572631.

136275048000 is a `hidden beast` number, since 13 + 62 + 7 + 504 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58966845 + ... + 58969155.

Almost surely, 2^136275048000 is an apocalyptic number.

136275048000 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 136275048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310377010944).

136275048000 is an abundant number, since it is smaller than the sum of its proper divisors (484478973888).

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

136275048000 is a wasteful number, since it uses less digits than its factorization.

136275048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 136275048000 in words is "one hundred thirty-six billion, two hundred seventy-five million, forty-eight thousand".