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138545992 = 23132971647
BaseRepresentation
bin10000100001000…
…00101101001000
3100122200212101001
420100200231020
5240431432432
621425304344
73301423114
oct1020405510
9318625331
10138545992
1171229722
123a4950b4
132291b5a0
1414586744
15c26a9e7
hex8420b48

138545992 has 64 divisors (see below), whose sum is σ = 293932800. Its totient is φ = 60775680.

The previous prime is 138545977. The next prime is 138545999. The reversal of 138545992 is 299545831.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (138545999) 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, 213813 + ... + 214459.

It is an arithmetic number, because the mean of its divisors is an integer number (4592700).

Almost surely, 2138545992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138545992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

138545992 is an abundant number, since it is smaller than the sum of its proper divisors (155386808).

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

138545992 is a wasteful number, since it uses less digits than its factorization.

138545992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 762 counting only the distinct ones).

The product of its digits is 388800, while the sum is 46.

The square root of 138545992 is about 11770.5561465888. The cubic root of 138545992 is about 517.4455489707.

The spelling of 138545992 in words is "one hundred thirty-eight million, five hundred forty-five thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 26 29 52 58 71 104 116 142 232 284 377 568 647 754 923 1294 1508 1846 2059 2588 3016 3692 4118 5176 7384 8236 8411 16472 16822 18763 26767 33644 37526 45937 53534 67288 75052 91874 107068 150104 183748 214136 243919 367496 487838 597181 975676 1194362 1332173 1951352 2388724 2664346 4777448 5328692 10657384 17318249 34636498 69272996 138545992