133315632 has 120 divisors (see below), whose sum is σ = 409880016. Its totient is φ = 41803776.

The previous prime is 133315631. The next prime is 133315667. The reversal of 133315632 is 236513331.

It is a happy number.

133315632 is a `hidden beast` number, since 13 + 3 + 3 + 15 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133315596 and 133315605.

It is not an unprimeable number, because it can be changed into a prime (133315631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65088 + ... + 67104.

Almost surely, 2^133315632 is an apocalyptic number.

133315632 is a gapful number since it is divisible by the number (12) 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 133315632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204940008).

133315632 is an abundant number, since it is smaller than the sum of its proper divisors (276564384).

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

133315632 is a wasteful number, since it uses less digits than its factorization.

133315632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2039 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 133315632 is about 11546.2388681336. The cubic root of 133315632 is about 510.8503460973.

Adding to 133315632 its reverse (236513331), we get a palindrome (369828963).

The spelling of 133315632 in words is "one hundred thirty-three million, three hundred fifteen thousand, six hundred thirty-two".