139793472 has 336 divisors, whose sum is σ = 518891520. Its totient is φ = 36578304.

The previous prime is 139793447. The next prime is 139793483. The reversal of 139793472 is 274397931.

139793472 is a `hidden beast` number, since 1 + 3 + 97 + 93 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

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, 1100673 + ... + 1100799.

It is an arithmetic number, because the mean of its divisors is an integer number (1544320).

Almost surely, 2^139793472 is an apocalyptic number.

139793472 is a gapful number since it is divisible by the number (12) 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 139793472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259445760).

139793472 is an abundant number, since it is smaller than the sum of its proper divisors (379098048).

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

139793472 is a wasteful number, since it uses less digits than its factorization.

139793472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 139793472 is about 11823.4289442615. The cubic root of 139793472 is about 518.9939522834.

The spelling of 139793472 in words is "one hundred thirty-nine million, seven hundred ninety-three thousand, four hundred seventy-two".