133766892 has 72 divisors (see below), whose sum is σ = 387537696. Its totient is φ = 38110464.

The previous prime is 133766881. The next prime is 133766903. The reversal of 133766892 is 298667331.

It is an interprime number because it is at equal distance from previous prime (133766881) and next prime (133766903).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139888 + ... + 140840.

It is an arithmetic number, because the mean of its divisors is an integer number (5382468).

Almost surely, 2^133766892 is an apocalyptic number.

133766892 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 133766892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193768848).

133766892 is an abundant number, since it is smaller than the sum of its proper divisors (253770804).

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

133766892 is a wasteful number, since it uses less digits than its factorization.

133766892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1522 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 133766892 is about 11565.7637880081. The cubic root of 133766892 is about 511.4260893140.

The spelling of 133766892 in words is "one hundred thirty-three million, seven hundred sixty-six thousand, eight hundred ninety-two".