136769752000 has 448 divisors, whose sum is σ = 410213007360. Its totient is φ = 44126208000.

The previous prime is 136769751983. The next prime is 136769752013. The reversal of 136769752000 is 257967631.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 203223664 + ... + 203224336.

Almost surely, 2^136769752000 is an apocalyptic number.

136769752000 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 136769752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205106503680).

136769752000 is an abundant number, since it is smaller than the sum of its proper divisors (273443255360).

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

136769752000 is a wasteful number, since it uses less digits than its factorization.

136769752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 46.

The spelling of 136769752000 in words is "one hundred thirty-six billion, seven hundred sixty-nine million, seven hundred fifty-two thousand".