138527424 has 336 divisors, whose sum is σ = 502115328. Its totient is φ = 35610624.

The previous prime is 138527393. The next prime is 138527447. The reversal of 138527424 is 424725831.

It is a happy number.

138527424 is a `hidden beast` number, since 1 + 385 + 274 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 2947369 + ... + 2947415.

Almost surely, 2^138527424 is an apocalyptic number.

138527424 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 138527424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251057664).

138527424 is an abundant number, since it is smaller than the sum of its proper divisors (363587904).

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

138527424 is a wasteful number, since it uses less digits than its factorization.

138527424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 138527424 is about 11769.7673723825. The cubic root of 138527424 is about 517.4224318381.

The spelling of 138527424 in words is "one hundred thirty-eight million, five hundred twenty-seven thousand, four hundred twenty-four".