133952000 has 320 divisors, whose sum is σ = 428972544. Its totient is φ = 40550400.

The previous prime is 133951991. The next prime is 133952011. The reversal of 133952000 is 259331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5823989 + ... + 5824011.

Almost surely, 2^133952000 is an apocalyptic number.

133952000 is a gapful number since it is divisible by the number (10) 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 133952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

133952000 is an abundant number, since it is smaller than the sum of its proper divisors (295020544).

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

133952000 is an equidigital number, since it uses as much as digits as its factorization.

133952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 133952000 is about 11573.7634328683. The cubic root of 133952000 is about 511.6618861410.

The spelling of 133952000 in words is "one hundred thirty-three million, nine hundred fifty-two thousand".