136079777736000 has 2240 divisors, whose sum is σ = 610555920099840. Its totient is φ = 29208364646400.

The previous prime is 136079777735989. The next prime is 136079777736037. The reversal of 136079777736000 is 637777970631.

136079777736000 is a `hidden beast` number, since 13 + 6 + 0 + 7 + 9 + 7 + 7 + 7 + 7 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×136079777736000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 39250006267 + ... + 39250009733.

Almost surely, 2^{136079777736000} is an apocalyptic number.

136079777736000 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 136079777736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305277960049920).

136079777736000 is an abundant number, since it is smaller than the sum of its proper divisors (474476142363840).

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

136079777736000 is a wasteful number, since it uses less digits than its factorization.

136079777736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 49009212, while the sum is 63.

The spelling of 136079777736000 in words is "one hundred thirty-six trillion, seventy-nine billion, seven hundred seventy-seven million, seven hundred thirty-six thousand".