139674384000 has 384 divisors, whose sum is σ = 509860737360. Its totient is φ = 36633600000.

The previous prime is 139674383971. The next prime is 139674384023. The reversal of 139674384000 is 483476931.

It can be written as a sum of positive squares in 8 ways, for example, as 7312302144 + 132362081856 = 85512^2 + 363816^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×139674384000⁴ (a number of 46 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8776050 + ... + 8791950.

Almost surely, 2^139674384000 is an apocalyptic number.

139674384000 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 139674384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254930368680).

139674384000 is an abundant number, since it is smaller than the sum of its proper divisors (370186353360).

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

139674384000 is a wasteful number, since it uses less digits than its factorization.

139674384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15997 (or 15972 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 139674384000 in words is "one hundred thirty-nine billion, six hundred seventy-four million, three hundred eighty-four thousand".