140181257952 has 72 divisors (see below), whose sum is σ = 408363424560. Its totient is φ = 45587397120.

The previous prime is 140181257903. The next prime is 140181257999. The reversal of 140181257952 is 259752181041.

140181257952 is a `hidden beast` number, since 1 + 4 + 0 + 18 + 12 + 579 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 140181257898 and 140181257907.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5924052 + ... + 5947667.

It is an arithmetic number, because the mean of its divisors is an integer number (5671714230).

Almost surely, 2^140181257952 is an apocalyptic number.

140181257952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140181257952 is an abundant number, since it is smaller than the sum of its proper divisors (268182166608).

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

140181257952 is a wasteful number, since it uses less digits than its factorization.

140181257952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11871776 (or 11871765 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 140181257952 in words is "one hundred forty billion, one hundred eighty-one million, two hundred fifty-seven thousand, nine hundred fifty-two".