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138660192 = 253211223173
BaseRepresentation
bin10000100001111…
…00100101100000
3100122220200000200
420100330211200
5240444111232
621431545200
73302410056
oct1020744540
9318820020
10138660192
11712a7500
123a52b200
132295b568
14145b61d6
15c28e77c
hex843c960

138660192 has 216 divisors, whose sum is σ = 454879152. Its totient is φ = 39959040.

The previous prime is 138660167. The next prime is 138660257. The reversal of 138660192 is 291066831.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 801418 + ... + 801590.

It is an arithmetic number, because the mean of its divisors is an integer number (2105922).

Almost surely, 2138660192 is an apocalyptic number.

138660192 is a gapful number since it is divisible by the number (12) 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 138660192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227439576).

138660192 is an abundant number, since it is smaller than the sum of its proper divisors (316218960).

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

138660192 is a wasteful number, since it uses less digits than its factorization.

138660192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 138660192 is about 11775.4062350307. The cubic root of 138660192 is about 517.5876824052.

The spelling of 138660192 in words is "one hundred thirty-eight million, six hundred sixty thousand, one hundred ninety-two".