133142514312000 has 224 divisors, whose sum is σ = 440018634092544. Its totient is φ = 35473816320000.

The previous prime is 133142514311951. The next prime is 133142514312011. The reversal of 133142514312000 is 213415241331.

It is a super-2 number, since 2×133142514312000² (a number of 29 digits) contains 22 as substring.

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

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, 25214094 + ... + 30033906.

Almost surely, 2^{133142514312000} is an apocalyptic number.

133142514312000 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 133142514312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220009317046272).

133142514312000 is an abundant number, since it is smaller than the sum of its proper divisors (306876119780544).

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

133142514312000 is a wasteful number, since it uses less digits than its factorization.

133142514312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820994 (or 4820974 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 133142514312000 its reverse (213415241331), we get a palindrome (133355929553331).

The spelling of 133142514312000 in words is "one hundred thirty-three trillion, one hundred forty-two billion, five hundred fourteen million, three hundred twelve thousand".