16134040 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 5322240.

The previous prime is 16134031. The next prime is 16134047. The reversal of 16134040 is 4043161.

It is a happy number.

16134040 is a nontrivial binomial coefficient, being equal to C(5681, 2).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 16133999 and 16134017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16134047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227205 + ... + 227275.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^16134040 is an apocalyptic number.

16134040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16134040 is the 5680-th triangular number.

16134040 is the 1894-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

16134040 is an abundant number, since it is smaller than the sum of its proper divisors (27411560).

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

16134040 is a wasteful number, since it uses less digits than its factorization.

16134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 16134040 is about 4016.7200549702. The cubic root of 16134040 is about 252.6859199929.

The spelling of 16134040 in words is "sixteen million, one hundred thirty-four thousand, forty".