133251440 has 80 divisors (see below), whose sum is σ = 374922432. Its totient is φ = 42995712.

The previous prime is 133251407. The next prime is 133251449. The reversal of 133251440 is 44152331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133251449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2522 + ... + 16518.

Almost surely, 2^133251440 is an apocalyptic number.

133251440 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 133251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187461216).

133251440 is an abundant number, since it is smaller than the sum of its proper divisors (241670992).

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

133251440 is a wasteful number, since it uses less digits than its factorization.

133251440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14034 (or 14028 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 133251440 is about 11543.4587537705. The cubic root of 133251440 is about 510.7683407851.

The spelling of 133251440 in words is "one hundred thirty-three million, two hundred fifty-one thousand, four hundred forty".