133906656 has 96 divisors (see below), whose sum is σ = 387924768. Its totient is φ = 40181760.

The previous prime is 133906631. The next prime is 133906691. The reversal of 133906656 is 656609331.

133906656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×133906656² = 35861985042204672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49860 + ... + 52476.

It is an arithmetic number, because the mean of its divisors is an integer number (4040883).

Almost surely, 2^133906656 is an apocalyptic number.

133906656 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 133906656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193962384).

133906656 is an abundant number, since it is smaller than the sum of its proper divisors (254018112).

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

133906656 is a wasteful number, since it uses less digits than its factorization.

133906656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 133906656 is about 11571.8043536866. The cubic root of 133906656 is about 511.6041455201.

The spelling of 133906656 in words is "one hundred thirty-three million, nine hundred six thousand, six hundred fifty-six".