135645933150 has 360 divisors, whose sum is σ = 472162826520. Its totient is φ = 28619256960.

The previous prime is 135645933149. The next prime is 135645933161. The reversal of 135645933150 is 51339546531.

135645933150 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 4 + 593 + 3 + 1 + 50 = 666.

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 = 135645933096 and 135645933105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2553561 + ... + 2606139.

It is an arithmetic number, because the mean of its divisors is an integer number (1311563407).

Almost surely, 2^135645933150 is an apocalyptic number.

135645933150 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 135645933150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236081413260).

135645933150 is an abundant number, since it is smaller than the sum of its proper divisors (336516893370).

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

135645933150 is a wasteful number, since it uses less digits than its factorization.

135645933150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52630 (or 52609 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 135645933150 in words is "one hundred thirty-five billion, six hundred forty-five million, nine hundred thirty-three thousand, one hundred fifty".