136384128000 has 1408 divisors, whose sum is σ = 555893145600. Its totient is φ = 32845824000.

The previous prime is 136384127989. The next prime is 136384128011. The reversal of 136384128000 is 821483631.

136384128000 is a `hidden beast` number, since 1 + 3 + 638 + 4 + 12 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136384127989) and next prime (136384128011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2035583967 + ... + 2035584033.

Almost surely, 2^136384128000 is an apocalyptic number.

136384128000 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 136384128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277946572800).

136384128000 is an abundant number, since it is smaller than the sum of its proper divisors (419509017600).

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

136384128000 is a wasteful number, since it uses less digits than its factorization.

136384128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 136384128000 in words is "one hundred thirty-six billion, three hundred eighty-four million, one hundred twenty-eight thousand".