138451752 has 48 divisors (see below), whose sum is σ = 384127380. Its totient is φ = 45024000.

The previous prime is 138451699. The next prime is 138451759. The reversal of 138451752 is 257154831.

138451752 is a `hidden beast` number, since 13 + 84 + 517 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138438756 + 12996 = 11766^2 + 114^2 .

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 (138451759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20499 + ... + 26402.

Almost surely, 2^138451752 is an apocalyptic number.

138451752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138451752 is an abundant number, since it is smaller than the sum of its proper divisors (245675628).

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

138451752 is a wasteful number, since it uses less digits than its factorization.

138451752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46954 (or 46947 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 138451752 is about 11766.5522562899. The cubic root of 138451752 is about 517.3281989400.

The spelling of 138451752 in words is "one hundred thirty-eight million, four hundred fifty-one thousand, seven hundred fifty-two".