133484760 has 192 divisors, whose sum is σ = 465454080. Its totient is φ = 34369920.

The previous prime is 133484759. The next prime is 133484761. The reversal of 133484760 is 67484331.

It is an interprime number because it is at equal distance from previous prime (133484759) and next prime (133484761).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133484761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301099 + ... + 301541.

It is an arithmetic number, because the mean of its divisors is an integer number (2424240).

Almost surely, 2^133484760 is an apocalyptic number.

133484760 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 133484760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232727040).

133484760 is an abundant number, since it is smaller than the sum of its proper divisors (331969320).

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

133484760 is a wasteful number, since it uses less digits than its factorization.

133484760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 133484760 is about 11553.5604901693. The cubic root of 133484760 is about 511.0662812322.

The spelling of 133484760 in words is "one hundred thirty-three million, four hundred eighty-four thousand, seven hundred sixty".