138307500 has 150 divisors (see below), whose sum is σ = 452470788. Its totient is φ = 36828000.

The previous prime is 138307489. The next prime is 138307531. The reversal of 138307500 is 5703831.

It is a tau number, because it is divible by the number of its divisors (150).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 202159 + ... + 202841.

Almost surely, 2^138307500 is an apocalyptic number.

138307500 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 138307500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226235394).

138307500 is an abundant number, since it is smaller than the sum of its proper divisors (314163288).

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

138307500 is an equidigital number, since it uses as much as digits as its factorization.

138307500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 138307500 is about 11760.4209108348. The cubic root of 138307500 is about 517.1484695189.

The spelling of 138307500 in words is "one hundred thirty-eight million, three hundred seven thousand, five hundred".