136434780000 has 720 divisors, whose sum is σ = 511506515520. Its totient is φ = 35754048000.

The previous prime is 136434779989. The next prime is 136434780071. The reversal of 136434780000 is 87434631.

136434780000 is a `hidden beast` number, since 1 + 3 + 643 + 4 + 7 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×136434780000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 325619791 + ... + 325620209.

It is an arithmetic number, because the mean of its divisors is an integer number (710425716).

Almost surely, 2^136434780000 is an apocalyptic number.

136434780000 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 136434780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255753257760).

136434780000 is an abundant number, since it is smaller than the sum of its proper divisors (375071735520).

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

136434780000 is an frugal number, since it uses more digits than its factorization.

136434780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 136434780000 in words is "one hundred thirty-six billion, four hundred thirty-four million, seven hundred eighty thousand".