136677252096000 has 7168 divisors, whose sum is σ = 690910691328000. Its totient is φ = 25798901760000.

The previous prime is 136677252095983. The next prime is 136677252096061. The reversal of 136677252096000 is 690252776631.

136677252096000 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 7 + 7 + 2 + 5 + 20 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1253919743946 + ... + 1253919744054.

Almost surely, 2^{136677252096000} is an apocalyptic number.

136677252096000 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 136677252096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345455345664000).

136677252096000 is an abundant number, since it is smaller than the sum of its proper divisors (554233439232000).

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

136677252096000 is a wasteful number, since it uses less digits than its factorization.

136677252096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 136677252096000 in words is "one hundred thirty-six trillion, six hundred seventy-seven billion, two hundred fifty-two million, ninety-six thousand".