136404644544 has 672 divisors, whose sum is σ = 486053099520. Its totient is φ = 37362124800.

The previous prime is 136404644533. The next prime is 136404644581. The reversal of 136404644544 is 445446404631.

It is a happy number.

136404644544 is a `hidden beast` number, since 1 + 3 + 6 + 40 + 4 + 64 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 136404644544.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 412098459 + ... + 412098789.

Almost surely, 2^136404644544 is an apocalyptic number.

136404644544 is a gapful number since it is divisible by the number (14) 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 136404644544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243026549760).

136404644544 is an abundant number, since it is smaller than the sum of its proper divisors (349648454976).

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

136404644544 is a wasteful number, since it uses less digits than its factorization.

136404644544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

It can be divided in two parts, 1364046445 and 44, that added together give a square (1364046489 = 36933²).

The spelling of 136404644544 in words is "one hundred thirty-six billion, four hundred four million, six hundred forty-four thousand, five hundred forty-four".