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135120019356 = 223273591493567
BaseRepresentation
bin111110111010111000…
…1111101111110011100
3110220202202011011210100
41331311301331332130
54203211211104411
6142023454541100
712522254133330
oct1756561757634
9426682134710
10135120019356
1152338801493
122222b507790
13c98486609a
14677b48d7c0
1537ac5c6456
hex1f75c7df9c

135120019356 has 72 divisors (see below), whose sum is σ = 391434301440. Its totient is φ = 38498157216.

The previous prime is 135120019351. The next prime is 135120019367. The reversal of 135120019356 is 653910021531.

It is a happy number.

135120019356 is a `hidden beast` number, since 1 + 3 + 512 + 0 + 0 + 1 + 93 + 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 135120019356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135120019351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656316 + ... + 837251.

It is an arithmetic number, because the mean of its divisors is an integer number (5436587520).

Almost surely, 2135120019356 is an apocalyptic number.

It is an amenable number.

135120019356 is an abundant number, since it is smaller than the sum of its proper divisors (256314282084).

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

135120019356 is a wasteful number, since it uses less digits than its factorization.

135120019356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493943 (or 1493938 counting only the distinct ones).

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

The spelling of 135120019356 in words is "one hundred thirty-five billion, one hundred twenty million, nineteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 359 718 1077 1436 2154 2513 3231 4308 5026 6462 7539 10052 12924 15078 22617 30156 45234 90468 1493567 2987134 4480701 5974268 8961402 10454969 13442103 17922804 20909938 26884206 31364907 41819876 53768412 62729814 94094721 125459628 188189442 376378884 536190553 1072381106 1608571659 2144762212 3217143318 3753333871 4825714977 6434286636 7506667742 9651429954 11260001613 15013335484 19302859908 22520003226 33780004839 45040006452 67560009678 135120019356