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135146664 = 23331374567
BaseRepresentation
bin10000000111000…
…10110010101000
3100102022011101000
420003202302220
5234044143124
621224355000
73230504412
oct1003426250
9312264330
10135146664
116a317764
1239315a60
1321ccb253
1413d3d9b2
15bce86c9
hex80e2ca8

135146664 has 64 divisors (see below), whose sum is σ = 378230400. Its totient is φ = 44710272.

The previous prime is 135146657. The next prime is 135146717. The reversal of 135146664 is 466641531.

It is a happy number.

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

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, 27309 + ... + 31875.

It is an arithmetic number, because the mean of its divisors is an integer number (5909850).

Almost surely, 2135146664 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 135146664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189115200).

135146664 is an abundant number, since it is smaller than the sum of its proper divisors (243083736).

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

135146664 is a wasteful number, since it uses less digits than its factorization.

135146664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4719 (or 4709 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 135146664 is about 11625.2597390338. The cubic root of 135146664 is about 513.1784885563.

The spelling of 135146664 in words is "one hundred thirty-five million, one hundred forty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 137 216 274 411 548 822 1096 1233 1644 2466 3288 3699 4567 4932 7398 9134 9864 13701 14796 18268 27402 29592 36536 41103 54804 82206 109608 123309 164412 246618 328824 493236 625679 986472 1251358 1877037 2502716 3754074 5005432 5631111 7508148 11262222 15016296 16893333 22524444 33786666 45048888 67573332 135146664