135440532864 has 768 divisors, whose sum is σ = 503158656000. Its totient is φ = 35312246784.

The previous prime is 135440532863. The next prime is 135440532923. The reversal of 135440532864 is 468235044531.

135440532864 is a `hidden beast` number, since 1 + 3 + 54 + 4 + 0 + 532 + 8 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135440532863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 308520357 + ... + 308520795.

It is an arithmetic number, because the mean of its divisors is an integer number (655154500).

Almost surely, 2^135440532864 is an apocalyptic number.

135440532864 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 135440532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251579328000).

135440532864 is an abundant number, since it is smaller than the sum of its proper divisors (367718123136).

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

135440532864 is a wasteful number, since it uses less digits than its factorization.

135440532864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 135440532864 in words is "one hundred thirty-five billion, four hundred forty million, five hundred thirty-two thousand, eight hundred sixty-four".