133762920 has 64 divisors (see below), whose sum is σ = 402978240. Its totient is φ = 35520000.

The previous prime is 133762891. The next prime is 133762931. The reversal of 133762920 is 29267331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27900 + ... + 32340.

It is an arithmetic number, because the mean of its divisors is an integer number (6296535).

Almost surely, 2^133762920 is an apocalyptic number.

133762920 is a gapful number since it is divisible by the number (10) 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 133762920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201489120).

133762920 is an abundant number, since it is smaller than the sum of its proper divisors (269215320).

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

133762920 is a wasteful number, since it uses less digits than its factorization.

133762920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 133762920 is about 11565.5920730415. The cubic root of 133762920 is about 511.4210272629.

The spelling of 133762920 in words is "one hundred thirty-three million, seven hundred sixty-two thousand, nine hundred twenty".