135602489917440 has 864 divisors, whose sum is σ = 578570706657216. Its totient is φ = 28610521989120.

The previous prime is 135602489917421. The next prime is 135602489917441. The reversal of 135602489917440 is 44719984206531.

135602489917440 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 0 + 24 + 89 + 91 + 7 + 440 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135602489917441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536613520 + ... + 536866160.

It is an arithmetic number, because the mean of its divisors is an integer number (669642021594).

It is a 1-persistent number, because it is pandigital, but 2⋅135602489917440 = 271204979834880 is not.

Almost surely, 2^{135602489917440} is an apocalyptic number.

135602489917440 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 135602489917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289285353328608).

135602489917440 is an abundant number, since it is smaller than the sum of its proper divisors (442968216739776).

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

135602489917440 is an equidigital number, since it uses as much as digits as its factorization.

135602489917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252706 (or 252671 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 135602489917440 in words is "one hundred thirty-five trillion, six hundred two billion, four hundred eighty-nine million, nine hundred seventeen thousand, four hundred forty".