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78135 = 355209
BaseRepresentation
bin10011000100110111
310222011220
4103010313
510000020
61401423
7443541
oct230467
9128156
1078135
1153782
1239273
1329745
1420691
1518240
hex13137

78135 has 8 divisors (see below), whose sum is σ = 125040. Its totient is φ = 41664.

The previous prime is 78121. The next prime is 78137. The reversal of 78135 is 53187.

78135 = 1232 + 1242 + ... + 1272.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 78135 - 27 = 78007 is a prime.

It is a super-2 number, since 2×781352 = 12210156450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2590 + ... + 2619.

It is an arithmetic number, because the mean of its divisors is an integer number (15630).

78135 is a Friedman number, since it can be written as 8+5^7+3-1, using all its digits and the basic arithmetic operations.

278135 is an apocalyptic number.

78135 is a deficient number, since it is larger than the sum of its proper divisors (46905).

78135 is a wasteful number, since it uses less digits than its factorization.

78135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217.

The product of its digits is 840, while the sum is 24.

The square root of 78135 is about 279.5263851589. The cubic root of 78135 is about 42.7512225634.

The spelling of 78135 in words is "seventy-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 15 5209 15627 26045 78135