140351136480 has 480 divisors, whose sum is σ = 522818271360. Its totient is φ = 35360271360.

The previous prime is 140351136437. The next prime is 140351136509. The reversal of 140351136480 is 84631153041.

140351136480 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 5 + 1 + 1 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×140351136480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 144542395 + ... + 144543365.

It is an arithmetic number, because the mean of its divisors is an integer number (1089204732).

Almost surely, 2^140351136480 is an apocalyptic number.

140351136480 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 140351136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261409135680).

140351136480 is an abundant number, since it is smaller than the sum of its proper divisors (382467134880).

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

140351136480 is a wasteful number, since it uses less digits than its factorization.

140351136480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 140351136480 in words is "one hundred forty billion, three hundred fifty-one million, one hundred thirty-six thousand, four hundred eighty".