136403955770112 has 1620 divisors, whose sum is σ = 455022229517856. Its totient is φ = 40616409415680.

The previous prime is 136403955770107. The next prime is 136403955770113. The reversal of 136403955770112 is 211077559304631.

136403955770112 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 0 + 3 + 9 + 557 + 70 + 1 + 12 = 666.

136403955770112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (136403955770113) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 295887105562 + ... + 295887106022.

Almost surely, 2^{136403955770112} is an apocalyptic number.

136403955770112 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 136403955770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227511114758928).

136403955770112 is an abundant number, since it is smaller than the sum of its proper divisors (318618273747744).

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

136403955770112 is an equidigital number, since it uses as much as digits as its factorization.

136403955770112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 136403955770112 in words is "one hundred thirty-six trillion, four hundred three billion, nine hundred fifty-five million, seven hundred seventy thousand, one hundred twelve".