136754196480 has 416 divisors, whose sum is σ = 530399358720. Its totient is φ = 33151057920.

The previous prime is 136754196479. The next prime is 136754196497. The reversal of 136754196480 is 84691457631.

136754196480 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 541 + 96 + 4 + 8 + 0 = 666.

136754196480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 6071319 + ... + 6093801.

Almost surely, 2^136754196480 is an apocalyptic number.

136754196480 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 136754196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265199679360).

136754196480 is an abundant number, since it is smaller than the sum of its proper divisors (393645162240).

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

136754196480 is a wasteful number, since it uses less digits than its factorization.

136754196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22532 (or 22504 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 136754196480 in words is "one hundred thirty-six billion, seven hundred fifty-four million, one hundred ninety-six thousand, four hundred eighty".