138264480 has 72 divisors (see below), whose sum is σ = 471832452. Its totient is φ = 36870144.

The previous prime is 138264443. The next prime is 138264499. The reversal of 138264480 is 84462831.

138264480 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 644 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122677776 + 15586704 = 11076^2 + 3948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46569 + ... + 49448.

Almost surely, 2^138264480 is an apocalyptic number.

138264480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138264480 is an abundant number, since it is smaller than the sum of its proper divisors (333567972).

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

138264480 is a wasteful number, since it uses less digits than its factorization.

138264480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96038 (or 96027 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 138264480 is about 11758.5917524166. The cubic root of 138264480 is about 517.0948449643.

The spelling of 138264480 in words is "one hundred thirty-eight million, two hundred sixty-four thousand, four hundred eighty".