135247145932800 has 1728 divisors, whose sum is σ = 541734119297280. Its totient is φ = 31969935360000.

The previous prime is 135247145932799. The next prime is 135247145932823. The reversal of 135247145932800 is 8239541742531.

135247145932800 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 47 + 1 + 4 + 593 + 2 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34300567629 + ... + 34300571571.

It is an arithmetic number, because the mean of its divisors is an integer number (313503541260).

Almost surely, 2^{135247145932800} is an apocalyptic number.

135247145932800 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 135247145932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270867059648640).

135247145932800 is an abundant number, since it is smaller than the sum of its proper divisors (406486973364480).

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

135247145932800 is a wasteful number, since it uses less digits than its factorization.

135247145932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 135247145932800 in words is "one hundred thirty-five trillion, two hundred forty-seven billion, one hundred forty-five million, nine hundred thirty-two thousand, eight hundred".