139638970224000 has 3456 divisors, whose sum is σ = 598336623031680. Its totient is φ = 32280875827200.

The previous prime is 139638970223971. The next prime is 139638970224037. The reversal of 139638970224000 is 422079836931.

139638970224000 is a `hidden beast` number, since 1 + 3 + 96 + 3 + 89 + 70 + 2 + 2 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×139638970224000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 301596047769 + ... + 301596048231.

It is an arithmetic number, because the mean of its divisors is an integer number (173129809905).

Almost surely, 2^{139638970224000} is an apocalyptic number.

139638970224000 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 139638970224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299168311515840).

139638970224000 is an abundant number, since it is smaller than the sum of its proper divisors (458697652807680).

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

139638970224000 is an frugal number, since it uses more digits than its factorization.

139638970224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 139638970224000 in words is "one hundred thirty-nine trillion, six hundred thirty-eight billion, nine hundred seventy million, two hundred twenty-four thousand".