136456623432 has 320 divisors, whose sum is σ = 405055728000. Its totient is φ = 42856805376.

The previous prime is 136456623419. The next prime is 136456623439. The reversal of 136456623432 is 234326654631.

136456623432 is a `hidden beast` number, since 1 + 3 + 64 + 566 + 23 + 4 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (136456623439) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138816013 + ... + 138816995.

It is an arithmetic number, because the mean of its divisors is an integer number (1265799150).

Almost surely, 2^136456623432 is an apocalyptic number.

136456623432 is a gapful number since it is divisible by the number (12) 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 136456623432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202527864000).

136456623432 is an abundant number, since it is smaller than the sum of its proper divisors (268599104568).

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

136456623432 is a wasteful number, since it uses less digits than its factorization.

136456623432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1189 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 136456623432 in words is "one hundred thirty-six billion, four hundred fifty-six million, six hundred twenty-three thousand, four hundred thirty-two".