133631940 has 192 divisors, whose sum is σ = 433520640. Its totient is φ = 30481920.

The previous prime is 133631923. The next prime is 133631977. The reversal of 133631940 is 49136331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133631898 and 133631907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1052157 + ... + 1052283.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920).

Almost surely, 2^133631940 is an apocalyptic number.

133631940 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 133631940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216760320).

133631940 is an abundant number, since it is smaller than the sum of its proper divisors (299888700).

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

133631940 is a wasteful number, since it uses less digits than its factorization.

133631940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 133631940 is about 11559.9282004691. The cubic root of 133631940 is about 511.2540457552.

The spelling of 133631940 in words is "one hundred thirty-three million, six hundred thirty-one thousand, nine hundred forty".