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135672572232 = 23328325232
BaseRepresentation
bin111111001011010110…
…1110010100101001000
3110222012020212202211200
41332112231302211020
54210324134302412
6142154354024200
712542043556551
oct1762655624510
9428166782750
10135672572232
11525a16a265a
1222364578060
13ca4218b552
1467d0a05328
1537e0d709dc
hex1f96b72948

135672572232 has 108 divisors (see below), whose sum is σ = 372639455955. Its totient is φ = 44593892064.

The previous prime is 135672572183. The next prime is 135672572261. The reversal of 135672572232 is 232275276531.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

135672572232 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 72 + 572 + 2 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67836286116 + 67836286116 = 260454^2 + 260454^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=260454.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 259411923 + ... + 259412445.

Almost surely, 2135672572232 is an apocalyptic number.

135672572232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135672572232

135672572232 is an abundant number, since it is smaller than the sum of its proper divisors (236966883723).

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

135672572232 is an frugal number, since it uses more digits than its factorization.

135672572232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 611 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 135672572232 in words is "one hundred thirty-five billion, six hundred seventy-two million, five hundred seventy-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 523 664 747 996 1046 1494 1569 1992 2092 2988 3138 4184 4707 5976 6276 6889 9414 12552 13778 18828 20667 27556 37656 41334 43409 55112 62001 82668 86818 124002 130227 165336 173636 248004 260454 273529 347272 390681 496008 520908 547058 781362 820587 1041816 1094116 1562724 1641174 2188232 2461761 3125448 3282348 3602947 4923522 6564696 7205894 9847044 10808841 14411788 19694088 21617682 22702907 28823576 32426523 43235364 45405814 64853046 68108721 86470728 90811628 129706092 136217442 181623256 204326163 259412184 272434884 408652326 544869768 817304652 1634609304 1884341281 3768682562 5653023843 7537365124 11306047686 15074730248 16959071529 22612095372 33918143058 45224190744 67836286116 135672572232