135086515200 has 1584 divisors, whose sum is σ = 631970801280. Its totient is φ = 26754416640.

The previous prime is 135086515177. The next prime is 135086515247. The reversal of 135086515200 is 2515680531.

It is a happy number.

135086515200 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 86 + 51 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 356428611 + ... + 356428989.

Almost surely, 2^135086515200 is an apocalyptic number.

135086515200 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 135086515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315985400640).

135086515200 is an abundant number, since it is smaller than the sum of its proper divisors (496884286080).

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

135086515200 is a wasteful number, since it uses less digits than its factorization.

135086515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 135086515200 in words is "one hundred thirty-five billion, eighty-six million, five hundred fifteen thousand, two hundred".