133629469632 has 112 divisors (see below), whose sum is σ = 398709611520. Its totient is φ = 43878295296.

The previous prime is 133629469613. The next prime is 133629469661. The reversal of 133629469632 is 236964926331.

133629469632 is a `hidden beast` number, since 1 + 3 + 3 + 629 + 4 + 6 + 9 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×133629469632² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461328 + ... + 692879.

Almost surely, 2^133629469632 is an apocalyptic number.

133629469632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133629469632 is an abundant number, since it is smaller than the sum of its proper divisors (265080141888).

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

133629469632 is a wasteful number, since it uses less digits than its factorization.

133629469632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154295 (or 1154279 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 54.

The spelling of 133629469632 in words is "one hundred thirty-three billion, six hundred twenty-nine million, four hundred sixty-nine thousand, six hundred thirty-two".