34132022133000 has 256 divisors, whose sum is σ = 116222255585280. Its totient is φ = 8270920800000.

The previous prime is 34132022132953. The next prime is 34132022133017. The reversal of 34132022133000 is 33122023143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78024885 + ... + 78461115.

It is an arithmetic number, because the mean of its divisors is an integer number (453993185880).

Almost surely, 2^{34132022133000} is an apocalyptic number.

34132022133000 is a gapful number since it is divisible by the number (30) 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 34132022133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58111127792640).

34132022133000 is an abundant number, since it is smaller than the sum of its proper divisors (82090233452280).

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

34132022133000 is a wasteful number, since it uses less digits than its factorization.

34132022133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438637 (or 438623 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34132022133000 its reverse (33122023143), we get a palindrome (34165144156143).

The spelling of 34132022133000 in words is "thirty-four trillion, one hundred thirty-two billion, twenty-two million, one hundred thirty-three thousand".