136412138880 has 640 divisors, whose sum is σ = 511847424000. Its totient is φ = 34555023360.

The previous prime is 136412138879. The next prime is 136412138881. The reversal of 136412138880 is 88831214631.

136412138880 is a `hidden beast` number, since 13 + 64 + 121 + 388 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (136412138879) and next prime (136412138881).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136412138881) 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, 227732821 + ... + 227733419.

It is an arithmetic number, because the mean of its divisors is an integer number (799761600).

Almost surely, 2^136412138880 is an apocalyptic number.

136412138880 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 136412138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255923712000).

136412138880 is an abundant number, since it is smaller than the sum of its proper divisors (375435285120).

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

136412138880 is a wasteful number, since it uses less digits than its factorization.

136412138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 136412138880 in words is "one hundred thirty-six billion, four hundred twelve million, one hundred thirty-eight thousand, eight hundred eighty".