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138935088 = 2434235979
BaseRepresentation
bin10000100011111…
…11101100110000
3100200102122010000
420101333230300
5241031410323
621441510000
73304633365
oct1021775460
9320378100
10138935088
1171474a96
123a642300
1322a26716
141464846c
15c2e5e43
hex847fb30

138935088 has 200 divisors, whose sum is σ = 432115200. Its totient is φ = 42996096.

The previous prime is 138935081. The next prime is 138935099. The reversal of 138935088 is 880539831.

138935088 is a `hidden beast` number, since 138 + 9 + 3 + 508 + 8 = 666.

138935088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (138935081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1758633 + ... + 1758711.

It is an arithmetic number, because the mean of its divisors is an integer number (2160576).

Almost surely, 2138935088 is an apocalyptic number.

138935088 is a gapful number since it is divisible by the number (18) 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 138935088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216057600).

138935088 is an abundant number, since it is smaller than the sum of its proper divisors (293180112).

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

138935088 is a wasteful number, since it uses less digits than its factorization.

138935088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 138935088 is about 11787.0729190923. The cubic root of 138935088 is about 517.9294985121.

It can be divided in two parts, 13893 and 5088, that added together give a palindrome (18981).

The spelling of 138935088 in words is "one hundred thirty-eight million, nine hundred thirty-five thousand, eighty-eight".