133507770 has 48 divisors (see below), whose sum is σ = 352205280. Its totient is φ = 32364640.

The previous prime is 133507763. The next prime is 133507771. The reversal of 133507770 is 77705331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133507771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14760 + ... + 22019.

It is an arithmetic number, because the mean of its divisors is an integer number (7337610).

Almost surely, 2^133507770 is an apocalyptic number.

133507770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133507770 is an abundant number, since it is smaller than the sum of its proper divisors (218697510).

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

133507770 is a wasteful number, since it uses less digits than its factorization.

133507770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36811 (or 36800 counting only the distinct ones).

The product of its (nonzero) digits is 15435, while the sum is 33.

The square root of 133507770 is about 11554.5562441835. The cubic root of 133507770 is about 511.0956452822.

The spelling of 133507770 in words is "one hundred thirty-three million, five hundred seven thousand, seven hundred seventy".