139782211920 has 720 divisors, whose sum is σ = 532465420032. Its totient is φ = 34062612480.

The previous prime is 139782211897. The next prime is 139782211927. The reversal of 139782211920 is 29112287931.

139782211920 is a `hidden beast` number, since 1 + 397 + 8 + 221 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139782211927) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 515801385 + ... + 515801655.

Almost surely, 2^139782211920 is an apocalyptic number.

139782211920 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 139782211920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266232710016).

139782211920 is an abundant number, since it is smaller than the sum of its proper divisors (392683208112).

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

139782211920 is a wasteful number, since it uses less digits than its factorization.

139782211920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 139782211920 in words is "one hundred thirty-nine billion, seven hundred eighty-two million, two hundred eleven thousand, nine hundred twenty".