138971700 has 432 divisors, whose sum is σ = 556075520. Its totient is φ = 29393280.

The previous prime is 138971699. The next prime is 138971711. The reversal of 138971700 is 7179831.

138971700 = T₂₁₆ + T₂₁₇ + ... + T₉₄₄.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3231879 + ... + 3231921.

Almost surely, 2^138971700 is an apocalyptic number.

138971700 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 138971700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278037760).

138971700 is an abundant number, since it is smaller than the sum of its proper divisors (417103820).

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

138971700 is a wasteful number, since it uses less digits than its factorization.

138971700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 138971700 is about 11788.6258741212. The cubic root of 138971700 is about 517.9749892269.

The spelling of 138971700 in words is "one hundred thirty-eight million, nine hundred seventy-one thousand, seven hundred".