135262983240 has 1024 divisors, whose sum is σ = 589234176000. Its totient is φ = 26780544000.

The previous prime is 135262983217. The next prime is 135262983253. The reversal of 135262983240 is 42389262531.

135262983240 is a `hidden beast` number, since 1 + 3 + 526 + 2 + 9 + 83 + 2 + 40 = 666.

It is a super-4 number, since 4×135262983240⁴ (a number of 46 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 183034791 + ... + 183035529.

It is an arithmetic number, because the mean of its divisors is an integer number (575424000).

Almost surely, 2^135262983240 is an apocalyptic number.

135262983240 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 135262983240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294617088000).

135262983240 is an abundant number, since it is smaller than the sum of its proper divisors (453971192760).

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

135262983240 is a wasteful number, since it uses less digits than its factorization.

135262983240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 135262983240 in words is "one hundred thirty-five billion, two hundred sixty-two million, nine hundred eighty-three thousand, two hundred forty".