133407500 has 120 divisors (see below), whose sum is σ = 320409936. Its totient is φ = 48384000.

The previous prime is 133407497. The next prime is 133407503. The reversal of 133407500 is 5704331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133407497) and next prime (133407503).

It is a super-2 number, since 2×133407500² = 35595122112500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133407503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1827464 + ... + 1827536.

Almost surely, 2^133407500 is an apocalyptic number.

133407500 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 133407500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160204968).

133407500 is an abundant number, since it is smaller than the sum of its proper divisors (187002436).

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

133407500 is a wasteful number, since it uses less digits than its factorization.

133407500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 133407500 is about 11550.2164481883. The cubic root of 133407500 is about 510.9676617314.

The spelling of 133407500 in words is "one hundred thirty-three million, four hundred seven thousand, five hundred".