135496556832 has 768 divisors, whose sum is σ = 503967744000. Its totient is φ = 30815354880.

The previous prime is 135496556803. The next prime is 135496556837. The reversal of 135496556832 is 238655694531.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (135496556837) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87472794 + ... + 87474342.

It is an arithmetic number, because the mean of its divisors is an integer number (656208000).

Almost surely, 2^135496556832 is an apocalyptic number.

135496556832 is a gapful number since it is divisible by the number (12) 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 135496556832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251983872000).

135496556832 is an abundant number, since it is smaller than the sum of its proper divisors (368471187168).

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

135496556832 is a wasteful number, since it uses less digits than its factorization.

135496556832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1641 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 57.

The spelling of 135496556832 in words is "one hundred thirty-five billion, four hundred ninety-six million, five hundred fifty-six thousand, eight hundred thirty-two".