140033114133000 has 512 divisors, whose sum is σ = 478539524436480. Its totient is φ = 33811015680000.

The previous prime is 140033114132993. The next prime is 140033114133001. The reversal of 140033114133000 is 331411330041.

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

It is not an unprimeable number, because it can be changed into a prime (140033114133001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14264344092 + ... + 14264353908.

It is an arithmetic number, because the mean of its divisors is an integer number (934647508665).

Almost surely, 2^{140033114133000} is an apocalyptic number.

140033114133000 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 140033114133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239269762218240).

140033114133000 is an abundant number, since it is smaller than the sum of its proper divisors (338506410303480).

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

140033114133000 is a wasteful number, since it uses less digits than its factorization.

140033114133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11546 (or 11532 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 140033114133000 its reverse (331411330041), we get a palindrome (140364525463041).

The spelling of 140033114133000 in words is "one hundred forty trillion, thirty-three billion, one hundred fourteen million, one hundred thirty-three thousand".