133417972 has 24 divisors (see below), whose sum is σ = 248810184. Its totient is φ = 62380032.

The previous prime is 133417931. The next prime is 133417987. The reversal of 133417972 is 279714331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25341156 + 108076816 = 5034^2 + 10396^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4428 + ... + 16924.

It is an arithmetic number, because the mean of its divisors is an integer number (10367091).

Almost surely, 2^133417972 is an apocalyptic number.

It is an amenable number.

133417972 is a deficient number, since it is larger than the sum of its proper divisors (115392212).

133417972 is a wasteful number, since it uses less digits than its factorization.

133417972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12675 (or 12673 counting only the distinct ones).

The product of its digits is 31752, while the sum is 37.

The square root of 133417972 is about 11550.6697641306. The cubic root of 133417972 is about 510.9810310781.

It can be divided in two parts, 1334 and 17972, that added together give a triangular number (19306 = T₁₉₆).

The spelling of 133417972 in words is "one hundred thirty-three million, four hundred seventeen thousand, nine hundred seventy-two".