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132656135264224 = 251113101287025149
BaseRepresentation
bin11110001010011001101001…
…110100011101011111100000
3122101200210200011010002011021
4132022121221310131133200
5114341414231111423344
61150045215350455224
736641042461013155
oct3612315164353740
9571623604102137
10132656135264224
11392a5173022460
1212a65793364514
13590355c622120
1424a883c3a222c
151050a556deb84
hex78a669d1d7e0

132656135264224 has 96 divisors (see below), whose sum is σ = 309863167135200. Its totient is φ = 55108828416000.

The previous prime is 132656135264129. The next prime is 132656135264227. The reversal of 132656135264224 is 422462531656231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132656135264227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143050399 + ... + 143974750.

It is an arithmetic number, because the mean of its divisors is an integer number (3227741324325).

Almost surely, 2132656135264224 is an apocalyptic number.

It is an amenable number.

132656135264224 is an abundant number, since it is smaller than the sum of its proper divisors (177207031870976).

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

132656135264224 is a wasteful number, since it uses less digits than its factorization.

132656135264224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287025284 (or 287025276 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 52.

The spelling of 132656135264224 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, one hundred thirty-five million, two hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 101 104 143 176 202 208 286 352 404 416 572 808 1111 1144 1313 1616 2222 2288 2626 3232 4444 4576 5252 8888 10504 14443 17776 21008 28886 35552 42016 57772 115544 231088 462176 287025149 574050298 1148100596 2296201192 3157276639 3731326937 4592402384 6314553278 7462653874 9184804768 12629106556 14925307748 25258213112 28989540049 29850615496 41044596307 50516426224 57979080098 59701230992 82089192614 101032852448 115958160196 119402461984 164178385228 231916320392 318884940539 328356770456 376864020637 463832640784 637769881078 656713540912 753728041274 927665281568 1275539762156 1313427081824 1507456082548 2551079524312 3014912165096 4145504227007 5102159048624 6029824330192 8291008454014 10204318097248 12059648660384 16582016908028 33164033816056 66328067632112 132656135264224