Search a number
-
+
138157900 = 225210113679
BaseRepresentation
bin10000011110000…
…01111101001100
3100121222011000021
420033001331030
5240332023100
621413111524
73265215466
oct1017017514
9317864007
10138157900
1170a94091
123a3285a4
1322813a4a
14144c5136
15c1e0a1a
hex83c1f4c

138157900 has 36 divisors (see below), whose sum is σ = 302793120. Its totient is φ = 54712000.

The previous prime is 138157897. The next prime is 138157907. The reversal of 138157900 is 9751831.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (138157907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3261 + ... + 16939.

It is an arithmetic number, because the mean of its divisors is an integer number (8410920).

Almost surely, 2138157900 is an apocalyptic number.

138157900 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 138157900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151396560).

138157900 is an abundant number, since it is smaller than the sum of its proper divisors (164635220).

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

138157900 is a wasteful number, since it uses less digits than its factorization.

138157900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13794 (or 13787 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 138157900 is about 11754.0588734275. The cubic root of 138157900 is about 516.9619447538.

The spelling of 138157900 in words is "one hundred thirty-eight million, one hundred fifty-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 13679 27358 54716 68395 136790 273580 341975 683950 1367900 1381579 2763158 5526316 6907895 13815790 27631580 34539475 69078950 138157900