136406924640 has 384 divisors, whose sum is σ = 546259230720. Its totient is φ = 31142651904.

The previous prime is 136406924629. The next prime is 136406924651. The reversal of 136406924640 is 46429604631.

136406924640 is a `hidden beast` number, since 1 + 364 + 0 + 6 + 9 + 246 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (136406924629) and next prime (136406924651).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33050257 + ... + 33054383.

It is an arithmetic number, because the mean of its divisors is an integer number (1422550080).

Almost surely, 2^136406924640 is an apocalyptic number.

136406924640 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 136406924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273129615360).

136406924640 is an abundant number, since it is smaller than the sum of its proper divisors (409852306080).

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

136406924640 is a wasteful number, since it uses less digits than its factorization.

136406924640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5251 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 136406924640 in words is "one hundred thirty-six billion, four hundred six million, nine hundred twenty-four thousand, six hundred forty".