135503400960 has 624 divisors, whose sum is σ = 497868638400. Its totient is φ = 34961227776.

The previous prime is 135503400953. The next prime is 135503400983. The reversal of 135503400960 is 69004305531.

135503400960 is a `hidden beast` number, since 1 + 3 + 550 + 3 + 40 + 0 + 9 + 60 = 666.

It is a super-2 number, since 2×135503400960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 757002151 + ... + 757002329.

Almost surely, 2^135503400960 is an apocalyptic number.

135503400960 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 135503400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248934319200).

135503400960 is an abundant number, since it is smaller than the sum of its proper divisors (362365237440).

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

135503400960 is an equidigital number, since it uses as much as digits as its factorization.

135503400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 135503400960 in words is "one hundred thirty-five billion, five hundred three million, four hundred thousand, nine hundred sixty".