133120692 has 48 divisors (see below), whose sum is σ = 350297920. Its totient is φ = 43708896.

The previous prime is 133120657. The next prime is 133120699. The reversal of 133120692 is 296021331.

It is a super-2 number, since 2×133120692² = 35442237277117728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133120699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1963 + ... + 16434.

Almost surely, 2^133120692 is an apocalyptic number.

133120692 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 133120692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175148960).

133120692 is an abundant number, since it is smaller than the sum of its proper divisors (217177228).

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

133120692 is a wasteful number, since it uses less digits than its factorization.

133120692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18477 (or 18469 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 133120692 is about 11537.7940699252. The cubic root of 133120692 is about 510.6012286615.

The spelling of 133120692 in words is "one hundred thirty-three million, one hundred twenty thousand, six hundred ninety-two".