133761852 has 72 divisors (see below), whose sum is σ = 391372800. Its totient is φ = 37728288.

The previous prime is 133761851. The next prime is 133761853. The reversal of 133761852 is 258167331.

133761852 is a `hidden beast` number, since 1 + 3 + 37 + 618 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (133761851) and next prime (133761853).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133761851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16549 + ... + 23267.

Almost surely, 2^133761852 is an apocalyptic number.

133761852 is a gapful number since it is divisible by the number (12) 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 133761852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195686400).

133761852 is an abundant number, since it is smaller than the sum of its proper divisors (257610948).

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

133761852 is a wasteful number, since it uses less digits than its factorization.

133761852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6815 (or 6810 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 133761852 is about 11565.5459015128. The cubic root of 133761852 is about 511.4196661505.

The spelling of 133761852 in words is "one hundred thirty-three million, seven hundred sixty-one thousand, eight hundred fifty-two".