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135019656 = 23334314537
BaseRepresentation
bin10000000110000…
…11110010001000
3100102001201011000
420003003302020
5234031112111
621221535000
73226435212
oct1003036210
9312051130
10135019656
116a2402a2
1239274460
1321c854b5
1413d095b2
15bcc0c56
hex80c3c88

135019656 has 64 divisors (see below), whose sum is σ = 383803200. Its totient is φ = 43956864.

The previous prime is 135019649. The next prime is 135019691. The reversal of 135019656 is 656910531.

135019656 is a `hidden beast` number, since 13 + 501 + 96 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135019656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2020 + ... + 16556.

It is an arithmetic number, because the mean of its divisors is an integer number (5996925).

Almost surely, 2135019656 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 135019656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191901600).

135019656 is an abundant number, since it is smaller than the sum of its proper divisors (248783544).

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

135019656 is a wasteful number, since it uses less digits than its factorization.

135019656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14595 (or 14585 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 135019656 is about 11619.7958673980. The cubic root of 135019656 is about 513.0176800445.

The spelling of 135019656 in words is "one hundred thirty-five million, nineteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288 14537 29074 43611 58148 87222 116296 130833 174444 261666 348888 392499 523332 625091 784998 1046664 1250182 1569996 1875273 2500364 3139992 3750546 5000728 5625819 7501092 11251638 15002184 16877457 22503276 33754914 45006552 67509828 135019656