139324800 has 192 divisors, whose sum is σ = 479612160. Its totient is φ = 35481600.

The previous prime is 139324799. The next prime is 139324817. The reversal of 139324800 is 8423931.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×139324800² = 38822799790080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220485 + ... + 221115.

It is an arithmetic number, because the mean of its divisors is an integer number (2497980).

Almost surely, 2^139324800 is an apocalyptic number.

139324800 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 139324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239806080).

139324800 is an abundant number, since it is smaller than the sum of its proper divisors (340287360).

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

139324800 is a wasteful number, since it uses less digits than its factorization.

139324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 139324800 is about 11803.5926734194. The cubic root of 139324800 is about 518.4133093672.

The spelling of 139324800 in words is "one hundred thirty-nine million, three hundred twenty-four thousand, eight hundred".