133977480 has 128 divisors (see below), whose sum is σ = 494726400. Its totient is φ = 28265472.

The previous prime is 133977469. The next prime is 133977511. The reversal of 133977480 is 84779331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4786 + ... + 17054.

It is an arithmetic number, because the mean of its divisors is an integer number (3865050).

Almost surely, 2^133977480 is an apocalyptic number.

133977480 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 133977480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247363200).

133977480 is an abundant number, since it is smaller than the sum of its proper divisors (360748920).

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

133977480 is a wasteful number, since it uses less digits than its factorization.

133977480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12303 (or 12299 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 133977480 is about 11574.8641460710. The cubic root of 133977480 is about 511.6943264139.

The spelling of 133977480 in words is "one hundred thirty-three million, nine hundred seventy-seven thousand, four hundred eighty".