136956001485600 has 216 divisors, whose sum is σ = 526844836928592. Its totient is φ = 33201454886400.

The previous prime is 136956001485587. The next prime is 136956001485691. The reversal of 136956001485600 is 6584100659631.

136956001485600 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 5 + 60 + 0 + 14 + 8 + 560 + 0 = 666.

It is a super-4 number, since 4×136956001485600⁴ (a number of 58 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 864542022 + ... + 864700421.

It is an arithmetic number, because the mean of its divisors is an integer number (2439096467262).

Almost surely, 2^{136956001485600} is an apocalyptic number.

136956001485600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136956001485600 is an abundant number, since it is smaller than the sum of its proper divisors (389888835442992).

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

136956001485600 is a wasteful number, since it uses less digits than its factorization.

136956001485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729242480 (or 1729242464 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 136956001485600 in words is "one hundred thirty-six trillion, nine hundred fifty-six billion, one million, four hundred eighty-five thousand, six hundred".