13732454400 has 672 divisors, whose sum is σ = 54086443008. Its totient is φ = 3008102400.

The previous prime is 13732454381. The next prime is 13732454401. The reversal of 13732454400 is 445423731.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13732454401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133324749 + ... + 133324851.

Almost surely, 2^13732454400 is an apocalyptic number.

13732454400 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 13732454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27043221504).

13732454400 is an abundant number, since it is smaller than the sum of its proper divisors (40353988608).

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

13732454400 is a wasteful number, since it uses less digits than its factorization.

13732454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 13732454400 in words is "thirteen billion, seven hundred thirty-two million, four hundred fifty-four thousand, four hundred".