133772607 has 32 divisors (see below), whose sum is σ = 202176000. Its totient is φ = 87405120.

The previous prime is 133772599. The next prime is 133772629. The reversal of 133772607 is 706277331.

133772607 is a `hidden beast` number, since 13 + 37 + 7 + 2 + 607 = 666.

It is not a de Polignac number, because 133772607 - 2³ = 133772599 is a prime.

It is a super-2 number, since 2×133772607² = 35790220767152898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133772687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 429982 + ... + 430292.

It is an arithmetic number, because the mean of its divisors is an integer number (6318000).

Almost surely, 2^133772607 is an apocalyptic number.

133772607 is a deficient number, since it is larger than the sum of its proper divisors (68403393).

133772607 is a wasteful number, since it uses less digits than its factorization.

133772607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 133772607 is about 11566.0108507644. The cubic root of 133772607 is about 511.4333725274.

The spelling of 133772607 in words is "one hundred thirty-three million, seven hundred seventy-two thousand, six hundred seven".