135252146412450 has 144 divisors (see below), whose sum is σ = 366972933687360. Its totient is φ = 35711756979840.

The previous prime is 135252146412437. The next prime is 135252146412451. The reversal of 135252146412450 is 54214641252531.

135252146412450 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 52 + 146 + 4 + 1 + 2 + 450 = 666.

It is a super-2 number, since 2×135252146412450² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 135252146412396 and 135252146412405.

It is not an unprimeable number, because it can be changed into a prime (135252146412451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20432619 + ... + 26229681.

Almost surely, 2^{135252146412450} is an apocalyptic number.

135252146412450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135252146412450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183486466843680).

135252146412450 is an abundant number, since it is smaller than the sum of its proper divisors (231720787274910).

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

135252146412450 is a wasteful number, since it uses less digits than its factorization.

135252146412450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797593 (or 5797585 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

Adding to 135252146412450 its reverse (54214641252531), we get a palindrome (189466787664981).

The spelling of 135252146412450 in words is "one hundred thirty-five trillion, two hundred fifty-two billion, one hundred forty-six million, four hundred twelve thousand, four hundred fifty".