138978000 has 240 divisors, whose sum is σ = 555250176. Its totient is φ = 31737600.

The previous prime is 138977999. The next prime is 138978001. The reversal of 138978000 is 879831.

It is an interprime number because it is at equal distance from previous prime (138977999) and next prime (138978001).

It is a tau number, because it is divible by the number of its divisors (240).

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 (138978001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125449 + ... + 126551.

Almost surely, 2^138978000 is an apocalyptic number.

138978000 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 138978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277625088).

138978000 is an abundant number, since it is smaller than the sum of its proper divisors (416272176).

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

138978000 is a wasteful number, since it uses less digits than its factorization.

138978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 138978000 is about 11788.8930778085. The cubic root of 138978000 is about 517.9828162236.

The spelling of 138978000 in words is "one hundred thirty-eight million, nine hundred seventy-eight thousand".