133076514000 has 160 divisors (see below), whose sum is σ = 429232527360. Its totient is φ = 35471040000.

The previous prime is 133076513989. The next prime is 133076514001. The reversal of 133076514000 is 415670331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133076514001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19802641 + ... + 19809359.

It is an arithmetic number, because the mean of its divisors is an integer number (2682703296).

Almost surely, 2^133076514000 is an apocalyptic number.

133076514000 is a gapful number since it is divisible by the number (10) 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 133076514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214616263680).

133076514000 is an abundant number, since it is smaller than the sum of its proper divisors (296156013360).

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

133076514000 is a wasteful number, since it uses less digits than its factorization.

133076514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10046 (or 10030 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 133076514000 in words is "one hundred thirty-three billion, seventy-six million, five hundred fourteen thousand".