135690192000 has 768 divisors, whose sum is σ = 562979289600. Its totient is φ = 30953472000.

The previous prime is 135690191999. The next prime is 135690192103. The reversal of 135690192000 is 291096531.

135690192000 is a `hidden beast` number, since 1 + 3 + 569 + 0 + 1 + 92 + 0 + 0 + 0 = 666.

135690192000 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 (36).

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, 26925481 + ... + 26930519.

It is an arithmetic number, because the mean of its divisors is an integer number (733045950).

Almost surely, 2^135690192000 is an apocalyptic number.

135690192000 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 135690192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281489644800).

135690192000 is an abundant number, since it is smaller than the sum of its proper divisors (427289097600).

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

135690192000 is a wasteful number, since it uses less digits than its factorization.

135690192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 135690192000 in words is "one hundred thirty-five billion, six hundred ninety million, one hundred ninety-two thousand".