136819979553600 has 1008 divisors, whose sum is σ = 580341244354560. Its totient is φ = 29891919974400.

The previous prime is 136819979553571. The next prime is 136819979553643. The reversal of 136819979553600 is 6355979918631.

136819979553600 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 1 + 9 + 9 + 7 + 9 + 5 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3336157095 + ... + 3336198105.

Almost surely, 2^{136819979553600} is an apocalyptic number.

136819979553600 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 136819979553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290170622177280).

136819979553600 is an abundant number, since it is smaller than the sum of its proper divisors (443521264800960).

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

136819979553600 is a wasteful number, since it uses less digits than its factorization.

136819979553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42508 (or 42490 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 136819979553600 in words is "one hundred thirty-six trillion, eight hundred nineteen billion, nine hundred seventy-nine million, five hundred fifty-three thousand, six hundred".