16134908400 has 540 divisors, whose sum is σ = 63091349048. Its totient is φ = 3936522240.

The previous prime is 16134908399. The next prime is 16134908407. The reversal of 16134908400 is 480943161.

16134908400 is a `hidden beast` number, since 161 + 3 + 4 + 90 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 (16134908407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 142786744 + ... + 142786856.

Almost surely, 2^16134908400 is an apocalyptic number.

16134908400 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 16134908400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31545674524).

16134908400 is an abundant number, since it is smaller than the sum of its proper divisors (46956440648).

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

16134908400 is a wasteful number, since it uses less digits than its factorization.

16134908400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 16134908400 in words is "sixteen billion, one hundred thirty-four million, nine hundred eight thousand, four hundred".