133981000 has 32 divisors (see below), whose sum is σ = 313517880. Its totient is φ = 53592000.

The previous prime is 133980997. The next prime is 133981009. The reversal of 133981000 is 189331.

It can be written as a sum of positive squares in 4 ways, for example, as 88849476 + 45131524 = 9426^2 + 6718^2 .

It is a super-2 number, since 2×133981000² = 35901816722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (133981009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65991 + ... + 67990.

Almost surely, 2^133981000 is an apocalyptic number.

133981000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133981000 is an abundant number, since it is smaller than the sum of its proper divisors (179536880).

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

133981000 is a wasteful number, since it uses less digits than its factorization.

133981000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134002 (or 133988 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 133981000 is about 11575.0161986928. The cubic root of 133981000 is about 511.6988076353.

The spelling of 133981000 in words is "one hundred thirty-three million, nine hundred eighty-one thousand".