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135975084 = 22372955819
BaseRepresentation
bin10000001101011…
…01000010101100
3100110212020202020
420012231002230
5234302200314
621254230140
73240524550
oct1006550254
9313766666
10135975084
116a833103
1239655350
132222b33b
14140b7860
15be0dda9
hex81ad0ac

135975084 has 48 divisors (see below), whose sum is σ = 375110400. Its totient is φ = 37509696.

The previous prime is 135975079. The next prime is 135975097. The reversal of 135975084 is 480579531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25474 + ... + 30345.

It is an arithmetic number, because the mean of its divisors is an integer number (7814800).

Almost surely, 2135975084 is an apocalyptic number.

135975084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135975084 is an abundant number, since it is smaller than the sum of its proper divisors (239135316).

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

135975084 is a wasteful number, since it uses less digits than its factorization.

135975084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55862 (or 55860 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 135975084 is about 11660.8354760712. The cubic root of 135975084 is about 514.2249112861.

It can be divided in two parts, 13597 and 5084, that added together give a palindrome (18681).

The spelling of 135975084 in words is "one hundred thirty-five million, nine hundred seventy-five thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 55819 111638 167457 223276 334914 390733 669828 781466 1172199 1562932 1618751 2344398 3237502 4688796 4856253 6475004 9712506 11331257 19425012 22662514 33993771 45325028 67987542 135975084