136779552000 has 1728 divisors, whose sum is σ = 643472653824. Its totient is φ = 27072921600.

The previous prime is 136779551981. The next prime is 136779552043. The reversal of 136779552000 is 255977631.

136779552000 is a `hidden beast` number, since 1 + 36 + 7 + 7 + 95 + 520 + 0 + 0 = 666.

It is a super-3 number, since 3×136779552000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 445535847 + ... + 445536153.

It is an arithmetic number, because the mean of its divisors is an integer number (372380008).

Almost surely, 2^136779552000 is an apocalyptic number.

136779552000 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 136779552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321736326912).

136779552000 is an abundant number, since it is smaller than the sum of its proper divisors (506693101824).

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

136779552000 is a wasteful number, since it uses less digits than its factorization.

136779552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 136779552000 in words is "one hundred thirty-six billion, seven hundred seventy-nine million, five hundred fifty-two thousand".