138493152 has 240 divisors, whose sum is σ = 493970400. Its totient is φ = 37158912.

The previous prime is 138493141. The next prime is 138493171. The reversal of 138493152 is 251394831.

138493152 is a `hidden beast` number, since 13 + 8 + 493 + 152 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308224 + ... + 308672.

It is an arithmetic number, because the mean of its divisors is an integer number (2058210).

Almost surely, 2^138493152 is an apocalyptic number.

138493152 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 138493152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246985200).

138493152 is an abundant number, since it is smaller than the sum of its proper divisors (355477248).

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

138493152 is a wasteful number, since it uses less digits than its factorization.

138493152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 478 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 138493152 is about 11768.3113487025. The cubic root of 138493152 is about 517.3797578229.

The spelling of 138493152 in words is "one hundred thirty-eight million, four hundred ninety-three thousand, one hundred fifty-two".