138130464 has 48 divisors (see below), whose sum is σ = 363539232. Its totient is φ = 45923328.

The previous prime is 138130463. The next prime is 138130471. The reversal of 138130464 is 464031831.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (138130463) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 39907 + ... + 43229.

It is an arithmetic number, because the mean of its divisors is an integer number (7573734).

Almost surely, 2^138130464 is an apocalyptic number.

It is an amenable number.

138130464 is an abundant number, since it is smaller than the sum of its proper divisors (225408768).

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

138130464 is a wasteful number, since it uses less digits than its factorization.

138130464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 138130464 is about 11752.8917292724. The cubic root of 138130464 is about 516.9277223004.

The spelling of 138130464 in words is "one hundred thirty-eight million, one hundred thirty thousand, four hundred sixty-four".