138956000 has 48 divisors (see below), whose sum is σ = 341424720. Its totient is φ = 55580800.

The previous prime is 138955969. The next prime is 138956029. The reversal of 138956000 is 659831.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13370 + ... + 21369.

It is an arithmetic number, because the mean of its divisors is an integer number (7113015).

Almost surely, 2^138956000 is an apocalyptic number.

138956000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138956000 is an abundant number, since it is smaller than the sum of its proper divisors (202468720).

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

138956000 is an equidigital number, since it uses as much as digits as its factorization.

138956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34764 (or 34746 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 138956000 is about 11787.9599592126. The cubic root of 138956000 is about 517.9554828247.

The spelling of 138956000 in words is "one hundred thirty-eight million, nine hundred fifty-six thousand".