138046720 has 216 divisors, whose sum is σ = 402651648. Its totient is φ = 45158400.

The previous prime is 138046717. The next prime is 138046729. The reversal of 138046720 is 27640831.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138046729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1944285 + ... + 1944355.

It is an arithmetic number, because the mean of its divisors is an integer number (1864128).

Almost surely, 2^138046720 is an apocalyptic number.

138046720 is a gapful number since it is divisible by the number (10) 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 138046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201325824).

138046720 is an abundant number, since it is smaller than the sum of its proper divisors (264604928).

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

138046720 is an equidigital number, since it uses as much as digits as its factorization.

138046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 138046720 is about 11749.3284914501. The cubic root of 138046720 is about 516.8232357031.

The spelling of 138046720 in words is "one hundred thirty-eight million, forty-six thousand, seven hundred twenty".