138054532 has 96 divisors (see below), whose sum is σ = 327720960. Its totient is φ = 49248000.

The previous prime is 138054443. The next prime is 138054541. The reversal of 138054532 is 235450831.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 138054494 and 138054503.

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 31 ways as a sum of consecutive naturals, for example, 181032 + ... + 181792.

It is an arithmetic number, because the mean of its divisors is an integer number (3413760).

Almost surely, 2^138054532 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 138054532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163860480).

138054532 is an abundant number, since it is smaller than the sum of its proper divisors (189666428).

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

138054532 is a wasteful number, since it uses less digits than its factorization.

138054532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 138054532 is about 11749.6609312780. The cubic root of 138054532 is about 516.8329844485.

The spelling of 138054532 in words is "one hundred thirty-eight million, fifty-four thousand, five hundred thirty-two".