133034652648 has 96 divisors (see below), whose sum is σ = 374601427200. Its totient is φ = 42605568000.

The previous prime is 133034652631. The next prime is 133034652701. The reversal of 133034652648 is 846256430331.

133034652648 is a `hidden beast` number, since 13 + 30 + 3 + 46 + 526 + 48 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 95848 + ... + 524648.

It is an arithmetic number, because the mean of its divisors is an integer number (3902098200).

Almost surely, 2^133034652648 is an apocalyptic number.

133034652648 is a gapful number since it is divisible by the number (18) 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 133034652648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187300713600).

133034652648 is an abundant number, since it is smaller than the sum of its proper divisors (241566774552).

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

133034652648 is a wasteful number, since it uses less digits than its factorization.

133034652648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428983 (or 428976 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 133034652648 in words is "one hundred thirty-three billion, thirty-four million, six hundred fifty-two thousand, six hundred forty-eight".