138077352 has 256 divisors, whose sum is σ = 470016000. Its totient is φ = 36723456.

The previous prime is 138077347. The next prime is 138077369. The reversal of 138077352 is 253770831.

138077352 is nontrivially palindromic in base 15.

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 63 ways as a sum of consecutive naturals, for example, 2060823 + ... + 2060889.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 2^138077352 is an apocalyptic number.

138077352 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 138077352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).

138077352 is an abundant number, since it is smaller than the sum of its proper divisors (331938648).

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

138077352 is a wasteful number, since it uses less digits than its factorization.

138077352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 138077352 is about 11750.6319830041. The cubic root of 138077352 is about 516.8614598602.

The spelling of 138077352 in words is "one hundred thirty-eight million, seventy-seven thousand, three hundred fifty-two".