133113780 has 120 divisors (see below), whose sum is σ = 421521408. Its totient is φ = 35163072.

The previous prime is 133113763. The next prime is 133113797. The reversal of 133113780 is 87311331.

It is an interprime number because it is at equal distance from previous prime (133113763) and next prime (133113797).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 205417 + ... + 206063.

Almost surely, 2^133113780 is an apocalyptic number.

133113780 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 133113780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210760704).

133113780 is an abundant number, since it is smaller than the sum of its proper divisors (288407628).

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

133113780 is a wasteful number, since it uses less digits than its factorization.

133113780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 133113780 is about 11537.4945287094. The cubic root of 133113780 is about 510.5923912255.

The spelling of 133113780 in words is "one hundred thirty-three million, one hundred thirteen thousand, seven hundred eighty".