13542890400 has 432 divisors, whose sum is σ = 52698423960. Its totient is φ = 3251404800.

The previous prime is 13542890327. The next prime is 13542890407. The reversal of 13542890400 is 409824531.

13542890400 is a `hidden beast` number, since 135 + 42 + 89 + 0 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2711076624 + 10831813776 = 52068^2 + 104076^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13542890407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3835836 + ... + 3839364.

Almost surely, 2^13542890400 is an apocalyptic number.

13542890400 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 13542890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26349211980).

13542890400 is an abundant number, since it is smaller than the sum of its proper divisors (39155533560).

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

13542890400 is a wasteful number, since it uses less digits than its factorization.

13542890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13542890400 in words is "thirteen billion, five hundred forty-two million, eight hundred ninety thousand, four hundred".