139893350400 has 588 divisors, whose sum is σ = 520688667282. Its totient is φ = 37265080320.

The previous prime is 139893350383. The next prime is 139893350447. The reversal of 139893350400 is 4053398931.

139893350400 is a `hidden beast` number, since 1 + 39 + 89 + 33 + 504 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 66291830784 + 73601519616 = 257472^2 + 271296^2 .

It is a super-3 number, since 3×139893350400³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 41 ways as a sum of consecutive naturals, for example, 149298732 + ... + 149299668.

Almost surely, 2^139893350400 is an apocalyptic number.

139893350400 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 139893350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260344333641).

139893350400 is an abundant number, since it is smaller than the sum of its proper divisors (380795316882).

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

139893350400 is an frugal number, since it uses more digits than its factorization.

139893350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 139893350400 in words is "one hundred thirty-nine billion, eight hundred ninety-three million, three hundred fifty thousand, four hundred".