139694400 has 252 divisors, whose sum is σ = 506691900. Its totient is φ = 36495360.

The previous prime is 139694383. The next prime is 139694411. The reversal of 139694400 is 4496931.

It can be written as a sum of positive squares in 6 ways, for example, as 5875776 + 133818624 = 2424^2 + 11568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1281546 + ... + 1281654.

Almost surely, 2^139694400 is an apocalyptic number.

139694400 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 139694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253345950).

139694400 is an abundant number, since it is smaller than the sum of its proper divisors (366997500).

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

139694400 is a wasteful number, since it uses less digits than its factorization.

139694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 139694400 is about 11819.2385541540. The cubic root of 139694400 is about 518.8713191840.

The spelling of 139694400 in words is "one hundred thirty-nine million, six hundred ninety-four thousand, four hundred".