135192395520 has 2160 divisors, whose sum is σ = 639461148480. Its totient is φ = 26977370112.

The previous prime is 135192395491. The next prime is 135192395521. The reversal of 135192395520 is 25593291531.

135192395520 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 92 + 3 + 9 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×135192395520² (a number of 23 digits) contains 22 as substring.

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 (135192395521) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1519015636 + ... + 1519015724.

It is an arithmetic number, because the mean of its divisors is an integer number (296046828).

Almost surely, 2^135192395520 is an apocalyptic number.

135192395520 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 135192395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319730574240).

135192395520 is an abundant number, since it is smaller than the sum of its proper divisors (504268752960).

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

135192395520 is a wasteful number, since it uses less digits than its factorization.

135192395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 135192395520 in words is "one hundred thirty-five billion, one hundred ninety-two million, three hundred ninety-five thousand, five hundred twenty".