135981250560 has 576 divisors, whose sum is σ = 494216704800. Its totient is φ = 34533015552.

The previous prime is 135981250529. The next prime is 135981250609. The reversal of 135981250560 is 65052189531.

135981250560 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 81 + 2 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221828814 + ... + 221829426.

Almost surely, 2^135981250560 is an apocalyptic number.

135981250560 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 135981250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247108352400).

135981250560 is an abundant number, since it is smaller than the sum of its proper divisors (358235454240).

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

135981250560 is a wasteful number, since it uses less digits than its factorization.

135981250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 135981250560 in words is "one hundred thirty-five billion, nine hundred eighty-one million, two hundred fifty thousand, five hundred sixty".