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138066225 = 352111131481
BaseRepresentation
bin10000011101010…
…11100100110001
3100121210111020220
420032223210301
5240321104400
621411123253
73264354303
oct1016534461
9317714226
10138066225
1170a31220
123a2a3529
13227b10bb
141449d973
15c1c37a0
hex83ab931

138066225 has 48 divisors (see below), whose sum is σ = 251394624. Its totient is φ = 66304000.

The previous prime is 138066221. The next prime is 138066251. The reversal of 138066225 is 522660831.

It is not a de Polignac number, because 138066225 - 22 = 138066221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (138066221) 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 47 ways as a sum of consecutive naturals, for example, 92485 + ... + 93965.

It is an arithmetic number, because the mean of its divisors is an integer number (5237388).

Almost surely, 2138066225 is an apocalyptic number.

138066225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138066225 is a deficient number, since it is larger than the sum of its proper divisors (113328399).

138066225 is a wasteful number, since it uses less digits than its factorization.

138066225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 138066225 is about 11750.1585095691. The cubic root of 138066225 is about 516.8475756814.

The spelling of 138066225 in words is "one hundred thirty-eight million, sixty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 113 165 275 339 565 825 1243 1481 1695 2825 3729 4443 6215 7405 8475 16291 18645 22215 31075 37025 48873 81455 93225 111075 167353 244365 407275 502059 836765 1221825 1840883 2510295 4183825 5522649 9204415 12551475 27613245 46022075 138066225