135524902464 has 294 divisors, whose sum is σ = 469052641014. Its totient is φ = 38720747520.

The previous prime is 135524902459. The next prime is 135524902477. The reversal of 135524902464 is 464209425531.

135524902464 is a `hidden beast` number, since 1 + 3 + 552 + 4 + 90 + 2 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131681894400 + 3843008064 = 362880^2 + 61992^2 .

It is a tau number, because it is divible by the number of its divisors (294).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2256504 + ... + 2315784.

Almost surely, 2^135524902464 is an apocalyptic number.

135524902464 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 135524902464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234526320507).

135524902464 is an abundant number, since it is smaller than the sum of its proper divisors (333527738550).

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

135524902464 is an frugal number, since it uses more digits than its factorization.

135524902464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59325 (or 59293 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 135524902464 in words is "one hundred thirty-five billion, five hundred twenty-four million, nine hundred two thousand, four hundred sixty-four".