138508452 has 54 divisors (see below), whose sum is σ = 371953218. Its totient is φ = 43450368.

The previous prime is 138508439. The next prime is 138508453. The reversal of 138508452 is 254805831.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 45887076 + 92621376 = 6774^2 + 9624^2 .

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

It is not an unprimeable number, because it can be changed into a prime (138508453) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3748 + ... + 17060.

Almost surely, 2^138508452 is an apocalyptic number.

138508452 is a gapful number since it is divisible by the number (12) 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 138508452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185976609).

138508452 is an abundant number, since it is smaller than the sum of its proper divisors (233444766).

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

138508452 is a wasteful number, since it uses less digits than its factorization.

138508452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13357 (or 13335 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 138508452 is about 11768.9613815324. The cubic root of 138508452 is about 517.3988095924.

The spelling of 138508452 in words is "one hundred thirty-eight million, five hundred eight thousand, four hundred fifty-two".