136153405440 has 1344 divisors, whose sum is σ = 559443568320. Its totient is φ = 31531991040.

The previous prime is 136153405429. The next prime is 136153405459. The reversal of 136153405440 is 44504351631.

136153405440 is a `hidden beast` number, since 1 + 3 + 61 + 53 + 4 + 0 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 136153405395 and 136153405404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2232023010 + ... + 2232023070.

It is an arithmetic number, because the mean of its divisors is an integer number (416252655).

Almost surely, 2^136153405440 is an apocalyptic number.

136153405440 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 136153405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279721784160).

136153405440 is an abundant number, since it is smaller than the sum of its proper divisors (423290162880).

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

136153405440 is an equidigital number, since it uses as much as digits as its factorization.

136153405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 136153405440 in words is "one hundred thirty-six billion, one hundred fifty-three million, four hundred five thousand, four hundred forty".