140749120512 has 1584 divisors, whose sum is σ = 586668234880. Its totient is φ = 31531991040.

The previous prime is 140749120507. The next prime is 140749120559. The reversal of 140749120512 is 215021947041.

140749120512 is a `hidden beast` number, since 1 + 407 + 49 + 1 + 205 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1928070108 + ... + 1928070180.

Almost surely, 2^140749120512 is an apocalyptic number.

140749120512 is a gapful number since it is divisible by the number (12) 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 140749120512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293334117440).

140749120512 is an abundant number, since it is smaller than the sum of its proper divisors (445919114368).

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

140749120512 is a wasteful number, since it uses less digits than its factorization.

140749120512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 140749120512 in words is "one hundred forty billion, seven hundred forty-nine million, one hundred twenty thousand, five hundred twelve".