133461888 has 192 divisors, whose sum is σ = 424887120. Its totient is φ = 36986880.

The previous prime is 133461877. The next prime is 133461901. The reversal of 133461888 is 888164331.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 771370 + ... + 771542.

Almost surely, 2^133461888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133461888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212443560).

133461888 is an abundant number, since it is smaller than the sum of its proper divisors (291425232).

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

133461888 is a wasteful number, since it uses less digits than its factorization.

133461888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 133461888 is about 11552.5706230259. The cubic root of 133461888 is about 511.0370899456.

The spelling of 133461888 in words is "one hundred thirty-three million, four hundred sixty-one thousand, eight hundred eighty-eight".