138735400 has 24 divisors (see below), whose sum is σ = 322560270. Its totient is φ = 55494080.

The previous prime is 138735371. The next prime is 138735407. The reversal of 138735400 is 4537831.

It can be written as a sum of positive squares in 3 ways, for example, as 55086084 + 83649316 = 7422^2 + 9146^2 .

It is a super-2 number, since 2×138735400² = 38495022426320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138735407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 346639 + ... + 347038.

Almost surely, 2^138735400 is an apocalyptic number.

138735400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138735400 is an abundant number, since it is smaller than the sum of its proper divisors (183824870).

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

138735400 is a wasteful number, since it uses less digits than its factorization.

138735400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693693 (or 693684 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 138735400 is about 11778.5992376004. The cubic root of 138735400 is about 517.6812437418.

The spelling of 138735400 in words is "one hundred thirty-eight million, seven hundred thirty-five thousand, four hundred".