133667820 has 240 divisors, whose sum is σ = 493482528. Its totient is φ = 29859840.

The previous prime is 133667819. The next prime is 133667837. The reversal of 133667820 is 28766331.

It is a happy number.

It is a super-2 number, since 2×133667820² = 35734172207104800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 231372 + ... + 231948.

Almost surely, 2^133667820 is an apocalyptic number.

133667820 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 133667820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246741264).

133667820 is an abundant number, since it is smaller than the sum of its proper divisors (359814708).

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

133667820 is a wasteful number, since it uses less digits than its factorization.

133667820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 133667820 is about 11561.4800090646. The cubic root of 133667820 is about 511.2997986734.

The spelling of 133667820 in words is "one hundred thirty-three million, six hundred sixty-seven thousand, eight hundred twenty".