133012692 has 240 divisors, whose sum is σ = 409812480. Its totient is φ = 37324800.

The previous prime is 133012667. The next prime is 133012721. The reversal of 133012692 is 296210331.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3244192 + ... + 3244232.

It is an arithmetic number, because the mean of its divisors is an integer number (1707552).

Almost surely, 2^133012692 is an apocalyptic number.

133012692 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 133012692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204906240).

133012692 is an abundant number, since it is smaller than the sum of its proper divisors (276799788).

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

133012692 is a wasteful number, since it uses less digits than its factorization.

133012692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

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

The square root of 133012692 is about 11533.1128495303. The cubic root of 133012692 is about 510.4631087556.

The spelling of 133012692 in words is "one hundred thirty-three million, twelve thousand, six hundred ninety-two".