133034001504 has 192 divisors, whose sum is σ = 364099421952. Its totient is φ = 42496819200.

The previous prime is 133034001491. The next prime is 133034001511. The reversal of 133034001504 is 405100430331.

It is a happy number.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 169038999 + ... + 169039785.

It is an arithmetic number, because the mean of its divisors is an integer number (1896351156).

Almost surely, 2^133034001504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133034001504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182049710976).

133034001504 is an abundant number, since it is smaller than the sum of its proper divisors (231065420448).

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

133034001504 is a wasteful number, since it uses less digits than its factorization.

133034001504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 133034001504 its reverse (405100430331), we get a palindrome (538134431835).

The spelling of 133034001504 in words is "one hundred thirty-three billion, thirty-four million, one thousand, five hundred four".