138497400 has 72 divisors (see below), whose sum is σ = 465126480. Its totient is φ = 36932160.

The previous prime is 138497377. The next prime is 138497407. The reversal of 138497400 is 4794831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138497407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36672 + ... + 40271.

It is an arithmetic number, because the mean of its divisors is an integer number (6460090).

Almost surely, 2^138497400 is an apocalyptic number.

138497400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138497400 is an abundant number, since it is smaller than the sum of its proper divisors (326629080).

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

138497400 is a wasteful number, since it uses less digits than its factorization.

138497400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76965 (or 76953 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 138497400 is about 11768.4918320063. The cubic root of 138497400 is about 517.3850476314.

The spelling of 138497400 in words is "one hundred thirty-eight million, four hundred ninety-seven thousand, four hundred".