136956970800 has 1200 divisors, whose sum is σ = 579492410112. Its totient is φ = 30656102400.

The previous prime is 136956970763. The next prime is 136956970847. The reversal of 136956970800 is 8079659631.

136956970800 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 569 + 70 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 221972092 + ... + 221972708.

Almost surely, 2^136956970800 is an apocalyptic number.

136956970800 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 136956970800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289746205056).

136956970800 is an abundant number, since it is smaller than the sum of its proper divisors (442535439312).

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

136956970800 is a wasteful number, since it uses less digits than its factorization.

136956970800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 136956970800 in words is "one hundred thirty-six billion, nine hundred fifty-six million, nine hundred seventy thousand, eight hundred".