133014816 has 144 divisors (see below), whose sum is σ = 417257568. Its totient is φ = 40191360.

The previous prime is 133014809. The next prime is 133014823. The reversal of 133014816 is 618410331.

It is an interprime number because it is at equal distance from previous prime (133014809) and next prime (133014823).

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 133014816.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383155 + ... + 383501.

It is an arithmetic number, because the mean of its divisors is an integer number (2897622).

Almost surely, 2^133014816 is an apocalyptic number.

133014816 is a gapful number since it is divisible by the number (16) 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 133014816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208628784).

133014816 is an abundant number, since it is smaller than the sum of its proper divisors (284242752).

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

133014816 is a wasteful number, since it uses less digits than its factorization.

133014816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 133014816 is about 11533.2049318479. The cubic root of 133014816 is about 510.4658258344.

The spelling of 133014816 in words is "one hundred thirty-three million, fourteen thousand, eight hundred sixteen".