133776720 has 480 divisors, whose sum is σ = 594247680. Its totient is φ = 26127360.

The previous prime is 133776679. The next prime is 133776761. The reversal of 133776720 is 27677331.

It is an interprime number because it is at equal distance from previous prime (133776679) and next prime (133776761).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1053297 + ... + 1053423.

It is an arithmetic number, because the mean of its divisors is an integer number (1238016).

Almost surely, 2^133776720 is an apocalyptic number.

133776720 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 133776720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297123840).

133776720 is an abundant number, since it is smaller than the sum of its proper divisors (460470960).

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

133776720 is a wasteful number, since it uses less digits than its factorization.

133776720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 133776720 is about 11566.1886548681. The cubic root of 133776720 is about 511.4386140188.

The spelling of 133776720 in words is "one hundred thirty-three million, seven hundred seventy-six thousand, seven hundred twenty".