135615939984 has 320 divisors, whose sum is σ = 451722754560. Its totient is φ = 38631168000.

The previous prime is 135615939983. The next prime is 135615940001. The reversal of 135615939984 is 489939516531.

135615939984 is a `hidden beast` number, since 1 + 3 + 5 + 615 + 9 + 3 + 9 + 9 + 8 + 4 = 666.

It is a super-3 number, since 3×135615939984³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (135615939983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112918584 + ... + 112919784.

It is an arithmetic number, because the mean of its divisors is an integer number (1411633608).

Almost surely, 2^135615939984 is an apocalyptic number.

135615939984 is a gapful number since it is divisible by the number (14) 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 135615939984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225861377280).

135615939984 is an abundant number, since it is smaller than the sum of its proper divisors (316106814576).

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

135615939984 is an equidigital number, since it uses as much as digits as its factorization.

135615939984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1674 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 63.

The spelling of 135615939984 in words is "one hundred thirty-five billion, six hundred fifteen million, nine hundred thirty-nine thousand, nine hundred eighty-four".