133774531632 has 480 divisors, whose sum is σ = 488025907200. Its totient is φ = 33295933440.

The previous prime is 133774531619. The next prime is 133774531691. The reversal of 133774531632 is 236135477331.

133774531632 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 7 + 4 + 5 + 3 + 1 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12212494 + ... + 12223442.

It is an arithmetic number, because the mean of its divisors is an integer number (1016720640).

Almost surely, 2^133774531632 is an apocalyptic number.

133774531632 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 133774531632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244012953600).

133774531632 is an abundant number, since it is smaller than the sum of its proper divisors (354251375568).

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

133774531632 is a wasteful number, since it uses less digits than its factorization.

133774531632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11041 (or 11032 counting only the distinct ones).

The product of its digits is 952560, while the sum is 45.

The spelling of 133774531632 in words is "one hundred thirty-three billion, seven hundred seventy-four million, five hundred thirty-one thousand, six hundred thirty-two".