13455129600 has 396 divisors, whose sum is σ = 52565240520. Its totient is φ = 3261235200.

The previous prime is 13455129599. The next prime is 13455129601. The reversal of 13455129600 is 692155431.

13455129600 is a `hidden beast` number, since 1 + 3 + 45 + 5 + 1 + 2 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (13455129599) and next prime (13455129601).

It is a tau number, because it is divible by the number of its divisors (396).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13455129601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2531746 + ... + 2537054.

Almost surely, 2^13455129600 is an apocalyptic number.

13455129600 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 13455129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26282620260).

13455129600 is an abundant number, since it is smaller than the sum of its proper divisors (39110110920).

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

13455129600 is a wasteful number, since it uses less digits than its factorization.

13455129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13455129600 in words is "thirteen billion, four hundred fifty-five million, one hundred twenty-nine thousand, six hundred".