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138488140 = 22571516551
BaseRepresentation
bin10000100000100…
…10100101001100
3100122120221000101
420100102211030
5240423110030
621424140444
73301062340
oct1020224514
9318527011
10138488140
117119a20a
123a467724
13228cb15b
141456d620
15c2587ca
hex841294c

138488140 has 48 divisors (see below), whose sum is σ = 334623744. Its totient is φ = 47160000.

The previous prime is 138488123. The next prime is 138488143. The reversal of 138488140 is 41884831.

It is a self number, because there is not a number n which added to its sum of digits gives 138488140.

It is not an unprimeable number, because it can be changed into a prime (138488143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17865 + ... + 24415.

It is an arithmetic number, because the mean of its divisors is an integer number (6971328).

Almost surely, 2138488140 is an apocalyptic number.

138488140 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 138488140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

138488140 is an abundant number, since it is smaller than the sum of its proper divisors (196135604).

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

138488140 is a wasteful number, since it uses less digits than its factorization.

138488140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6718 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 138488140 is about 11768.0984020359. The cubic root of 138488140 is about 517.3735165068.

The spelling of 138488140 in words is "one hundred thirty-eight million, four hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 1057 1510 2114 3020 4228 5285 6551 10570 13102 21140 26204 32755 45857 65510 91714 131020 183428 229285 458570 917140 989201 1978402 3956804 4946005 6924407 9892010 13848814 19784020 27697628 34622035 69244070 138488140