133137820 has 12 divisors (see below), whose sum is σ = 279589464. Its totient is φ = 53255120.

The previous prime is 133137817. The next prime is 133137821. The reversal of 133137820 is 28731331.

It is a super-2 number, since 2×133137820² = 35451358228704800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133137821) 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 3 ways as a sum of consecutive naturals, for example, 3328426 + ... + 3328465.

It is an arithmetic number, because the mean of its divisors is an integer number (23299122).

Almost surely, 2^133137820 is an apocalyptic number.

133137820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133137820 is an abundant number, since it is smaller than the sum of its proper divisors (146451644).

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

133137820 is a wasteful number, since it uses less digits than its factorization.

133137820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656900 (or 6656898 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 133137820 is about 11538.5363023219. The cubic root of 133137820 is about 510.6231265915.

The spelling of 133137820 in words is "one hundred thirty-three million, one hundred thirty-seven thousand, eight hundred twenty".