135207297792 has 432 divisors, whose sum is σ = 489613219200. Its totient is φ = 36595722240.

The previous prime is 135207297791. The next prime is 135207297793. The reversal of 135207297792 is 297792702531.

It is a happy number.

135207297792 is a `hidden beast` number, since 1 + 3 + 520 + 7 + 29 + 7 + 7 + 92 = 666.

135207297792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135207297791) and next prime (135207297793).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (135207297791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6424567 + ... + 6445577.

Almost surely, 2^135207297792 is an apocalyptic number.

135207297792 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 135207297792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244806609600).

135207297792 is an abundant number, since it is smaller than the sum of its proper divisors (354405921408).

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

135207297792 is a wasteful number, since it uses less digits than its factorization.

135207297792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21069 (or 21042 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 135207297792 in words is "one hundred thirty-five billion, two hundred seven million, two hundred ninety-seven thousand, seven hundred ninety-two".