135539490240 has 672 divisors, whose sum is σ = 602789451264. Its totient is φ = 28162805760.

The previous prime is 135539490169. The next prime is 135539490253. The reversal of 135539490240 is 42094935531.

135539490240 is a `hidden beast` number, since 1 + 3 + 5 + 539 + 4 + 90 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 5976202 + ... + 5998838.

It is an arithmetic number, because the mean of its divisors is an integer number (897008112).

Almost surely, 2^135539490240 is an apocalyptic number.

135539490240 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 135539490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301394725632).

135539490240 is an abundant number, since it is smaller than the sum of its proper divisors (467249961024).

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

135539490240 is a wasteful number, since it uses less digits than its factorization.

135539490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22687 (or 22665 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 135539490240 in words is "one hundred thirty-five billion, five hundred thirty-nine million, four hundred ninety thousand, two hundred forty".