133612864 has 112 divisors (see below), whose sum is σ = 348203520. Its totient is φ = 49282560.

The previous prime is 133612861. The next prime is 133612867. The reversal of 133612864 is 468216331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133612861) and next prime (133612867).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133612861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92919 + ... + 94345.

It is an arithmetic number, because the mean of its divisors is an integer number (3108960).

Almost surely, 2^133612864 is an apocalyptic number.

133612864 is a gapful number since it is divisible by the number (14) 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 133612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174101760).

133612864 is an abundant number, since it is smaller than the sum of its proper divisors (214590656).

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

133612864 is a wasteful number, since it uses less digits than its factorization.

133612864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1466 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 133612864 is about 11559.1030793916. The cubic root of 133612864 is about 511.2297173741.

Adding to 133612864 its product of digits (20736), we get a square (133633600 = 11560²).

The spelling of 133612864 in words is "one hundred thirty-three million, six hundred twelve thousand, eight hundred sixty-four".