138315276 has 90 divisors (see below), whose sum is σ = 396467148. Its totient is φ = 41700960.

The previous prime is 138315137. The next prime is 138315283. The reversal of 138315276 is 672513831.

138315276 is a `hidden beast` number, since 1 + 383 + 1 + 5 + 276 = 666.

It is a super-2 number, since 2×138315276² = 38262231149912352, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 138315276.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 702010 + ... + 702206.

Almost surely, 2^138315276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138315276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198233574).

138315276 is an abundant number, since it is smaller than the sum of its proper divisors (258151872).

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

138315276 is a wasteful number, since it uses less digits than its factorization.

138315276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 213 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 138315276 is about 11760.7515066002. The cubic root of 138315276 is about 517.1581611388.

The spelling of 138315276 in words is "one hundred thirty-eight million, three hundred fifteen thousand, two hundred seventy-six".