138297600 has 405 divisors, whose sum is σ = 576818333. Its totient is φ = 31610880.

The previous prime is 138297587. The next prime is 138297613. The reversal of 138297600 is 6792831.

The square root of 138297600 is 11760.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (138297587) and next prime (138297613).

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 88510464 = 7056^2 + 9408^2 .

It is a super-3 number, since 3×138297600³ (a number of 25 digits) contains 333 as substring.

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 44 ways as a sum of consecutive naturals, for example, 19756797 + ... + 19756803.

Almost surely, 2^138297600 is an apocalyptic number.

138297600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138297600 is the 11760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138297600

138297600 is an abundant number, since it is smaller than the sum of its proper divisors (438520733).

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

138297600 is an frugal number, since it uses more digits than its factorization.

138297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 138297600 is about 517.1361301254.

Multiplying 138297600 by its sum of digits (36), we get a square (4978713600 = 70560²).

138297600 divided by its sum of digits (36) gives a square (3841600 = 1960²).

The spelling of 138297600 in words is "one hundred thirty-eight million, two hundred ninety-seven thousand, six hundred".