138534800 has 30 divisors (see below), whose sum is σ = 332830818. Its totient is φ = 55413760.

The previous prime is 138534797. The next prime is 138534817. The reversal of 138534800 is 8435831.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 14167696 + 124367104 = 3764^2 + 11152^2 .

It is a super-2 number, since 2×138534800² = 38383781622080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172769 + ... + 173568.

Almost surely, 2^138534800 is an apocalyptic number.

138534800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138534800 is an abundant number, since it is smaller than the sum of its proper divisors (194296018).

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

138534800 is a wasteful number, since it uses less digits than its factorization.

138534800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346355 (or 346344 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 138534800 is about 11770.0807134021. The cubic root of 138534800 is about 517.4316151945.

The spelling of 138534800 in words is "one hundred thirty-eight million, five hundred thirty-four thousand, eight hundred".