138431430 has 160 divisors (see below), whose sum is σ = 397267200. Its totient is φ = 34525440.

The previous prime is 138431383. The next prime is 138431437. The reversal of 138431430 is 34134831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 138431394 and 138431403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138431437) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 928996 + ... + 929144.

It is an arithmetic number, because the mean of its divisors is an integer number (2482920).

Almost surely, 2^138431430 is an apocalyptic number.

138431430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138431430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198633600).

138431430 is an abundant number, since it is smaller than the sum of its proper divisors (258835770).

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

138431430 is a wasteful number, since it uses less digits than its factorization.

138431430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 138431430 is about 11765.6886751265. The cubic root of 138431430 is about 517.3028864925.

The spelling of 138431430 in words is "one hundred thirty-eight million, four hundred thirty-one thousand, four hundred thirty".