133631010 has 48 divisors (see below), whose sum is σ = 349250616. Its totient is φ = 35449344.

The previous prime is 133630997. The next prime is 133631023. The reversal of 133631010 is 10136331.

133631010 is a `hidden beast` number, since 1 + 33 + 631 + 0 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133630997) and next prime (133631023).

It can be written as a sum of positive squares in 4 ways, for example, as 129481641 + 4149369 = 11379^2 + 2037^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13962 + ... + 21498.

Almost surely, 2^133631010 is an apocalyptic number.

133631010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133631010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174625308).

133631010 is an abundant number, since it is smaller than the sum of its proper divisors (215619606).

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

133631010 is a wasteful number, since it uses less digits than its factorization.

133631010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7747 (or 7744 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 133631010 is about 11559.8879752357. The cubic root of 133631010 is about 511.2528597429.

Adding to 133631010 its reverse (10136331), we get a palindrome (143767341).

The spelling of 133631010 in words is "one hundred thirty-three million, six hundred thirty-one thousand, ten".