133787820 has 48 divisors (see below), whose sum is σ = 376800480. Its totient is φ = 35467776.

The previous prime is 133787791. The next prime is 133787831. The reversal of 133787820 is 28787331.

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, 3936 + ... + 16824.

It is an arithmetic number, because the mean of its divisors is an integer number (7850010).

Almost surely, 2^133787820 is an apocalyptic number.

133787820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133787820 is an abundant number, since it is smaller than the sum of its proper divisors (243012660).

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

133787820 is a wasteful number, since it uses less digits than its factorization.

133787820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13074 (or 13072 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 133787820 is about 11566.6684918346. The cubic root of 133787820 is about 511.4527590101.

The spelling of 133787820 in words is "one hundred thirty-three million, seven hundred eighty-seven thousand, eight hundred twenty".