138253304 has 72 divisors (see below), whose sum is σ = 312437520. Its totient is φ = 57183840.

The previous prime is 138253303. The next prime is 138253307. The reversal of 138253304 is 403352831.

It is a super-2 number, since 2×138253304² = 38227952133832832, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138253303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 376529 + ... + 376895.

It is an arithmetic number, because the mean of its divisors is an integer number (4339410).

Almost surely, 2^138253304 is an apocalyptic number.

138253304 is a gapful number since it is divisible by the number (14) 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 138253304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156218760).

138253304 is an abundant number, since it is smaller than the sum of its proper divisors (174184216).

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

138253304 is a wasteful number, since it uses less digits than its factorization.

138253304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 138253304 is about 11758.1165158370. The cubic root of 138253304 is about 517.0809122278.

The spelling of 138253304 in words is "one hundred thirty-eight million, two hundred fifty-three thousand, three hundred four".