140152456042560 has 896 divisors, whose sum is σ = 536007580093440. Its totient is φ = 34269955227648.

The previous prime is 140152456042531. The next prime is 140152456042561. The reversal of 140152456042560 is 65240654251041.

140152456042560 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 5 + 2 + 4 + 560 + 4 + 25 + 60 = 666.

140152456042560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (140152456042561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10484952997 + ... + 10484966363.

It is an arithmetic number, because the mean of its divisors is an integer number (598222745640).

Almost surely, 2^{140152456042560} is an apocalyptic number.

140152456042560 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 140152456042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268003790046720).

140152456042560 is an abundant number, since it is smaller than the sum of its proper divisors (395855124050880).

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

140152456042560 is a wasteful number, since it uses less digits than its factorization.

140152456042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14020 (or 14004 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 140152456042560 in words is "one hundred forty trillion, one hundred fifty-two billion, four hundred fifty-six million, forty-two thousand, five hundred sixty".