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138437500 = 2257443
BaseRepresentation
bin10000100000001…
…10001101111100
3100122111100112211
420100012031330
5240420000000
621423110204
73300461605
oct1020061574
9318440484
10138437500
1171165163
123a442364
13228b10a6
1414558dac
15c2487ba
hex840637c

138437500 has 48 divisors (see below), whose sum is σ = 303514848. Its totient is φ = 55250000.

The previous prime is 138437479. The next prime is 138437501. The reversal of 138437500 is 5734831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138437501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312279 + ... + 312721.

It is an arithmetic number, because the mean of its divisors is an integer number (6323226).

Almost surely, 2138437500 is an apocalyptic number.

138437500 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 138437500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151757424).

138437500 is an abundant number, since it is smaller than the sum of its proper divisors (165077348).

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

138437500 is an frugal number, since it uses more digits than its factorization.

138437500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 450 counting only the distinct ones).

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

The square root of 138437500 is about 11765.9466257501. The cubic root of 138437500 is about 517.3104473541.

The spelling of 138437500 in words is "one hundred thirty-eight million, four hundred thirty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 443 500 625 886 1250 1772 2215 2500 3125 4430 6250 8860 11075 12500 15625 22150 31250 44300 55375 62500 78125 110750 156250 221500 276875 312500 553750 1107500 1384375 2768750 5537500 6921875 13843750 27687500 34609375 69218750 138437500