133774802952 has 256 divisors, whose sum is σ = 415343738880. Its totient is φ = 35030016000.

The previous prime is 133774802939. The next prime is 133774802981. The reversal of 133774802952 is 259208477331.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 133774802895 and 133774802904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123067353 + ... + 123068439.

It is an arithmetic number, because the mean of its divisors is an integer number (1622436480).

Almost surely, 2^133774802952 is an apocalyptic number.

133774802952 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 133774802952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207671869440).

133774802952 is an abundant number, since it is smaller than the sum of its proper divisors (281568935928).

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

133774802952 is a wasteful number, since it uses less digits than its factorization.

133774802952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 133774802952 in words is "one hundred thirty-three billion, seven hundred seventy-four million, eight hundred two thousand, nine hundred fifty-two".