133256970 has 288 divisors, whose sum is σ = 457119936. Its totient is φ = 26611200.

The previous prime is 133256953. The next prime is 133256993. The reversal of 133256970 is 79652331.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1988877 + ... + 1988943.

It is an arithmetic number, because the mean of its divisors is an integer number (1587222).

Almost surely, 2^133256970 is an apocalyptic number.

133256970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133256970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228559968).

133256970 is an abundant number, since it is smaller than the sum of its proper divisors (323862966).

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

133256970 is a wasteful number, since it uses less digits than its factorization.

133256970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 133256970 is about 11543.6982808804. The cubic root of 133256970 is about 510.7754063995.

The spelling of 133256970 in words is "one hundred thirty-three million, two hundred fifty-six thousand, nine hundred seventy".