140253264000 has 1536 divisors, whose sum is σ = 579064412160. Its totient is φ = 32332185600.

The previous prime is 140253263957. The next prime is 140253264029. The reversal of 140253264000 is 462352041.

140253264000 is a `hidden beast` number, since 1 + 4 + 0 + 253 + 2 + 6 + 400 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2646287974 + ... + 2646288026.

It is an arithmetic number, because the mean of its divisors is an integer number (376995060).

Almost surely, 2^140253264000 is an apocalyptic number.

140253264000 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 140253264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289532206080).

140253264000 is an abundant number, since it is smaller than the sum of its proper divisors (438811148160).

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

140253264000 is a wasteful number, since it uses less digits than its factorization.

140253264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 140253264000 in words is "one hundred forty billion, two hundred fifty-three million, two hundred sixty-four thousand".