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132400152032452 = 225389199109132321
BaseRepresentation
bin11110000110101011010000…
…000001111011010011000100
3122100210022221020111120001021
4132012223100001323103010
5114323221002410014302
61145331442401440524
736613411123314043
oct3606532001732304
9570708836446037
10132400152032452
1139206653180667
1212a24053040144
1358b5385ab8905
14249a2b70a855a
1510490724a1437
hex786ad007b4c4

132400152032452 has 96 divisors (see below), whose sum is σ = 240151425696000. Its totient is φ = 63837967564800.

The previous prime is 132400152032443. The next prime is 132400152032461. The reversal of 132400152032452 is 254230251004231.

132400152032452 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132400152032443) and next prime (132400152032461).

It is a super-3 number, since 3×1324001520324523 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4096396452 + ... + 4096428772.

It is an arithmetic number, because the mean of its divisors is an integer number (2501577351000).

Almost surely, 2132400152032452 is an apocalyptic number.

It is an amenable number.

132400152032452 is a deficient number, since it is larger than the sum of its proper divisors (107751273663548).

132400152032452 is a wasteful number, since it uses less digits than its factorization.

132400152032452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33757 (or 33755 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 132400152032452 in words is "one hundred thirty-two trillion, four hundred billion, one hundred fifty-two million, thirty-two thousand, four hundred fifty-two".

Divisors: 1 2 4 53 89 106 178 199 212 356 398 796 1091 2182 4364 4717 9434 10547 17711 18868 21094 32321 35422 42188 57823 64642 70844 97099 115646 129284 194198 217109 231292 388396 434218 868436 938683 1713013 1877366 2876569 3426026 3754732 5146247 5753138 6431879 6852052 10292494 11506276 11506777 12863758 19322701 20584988 23013554 25727516 35262211 38645402 46027108 70524422 77290804 141048844 152458157 304916314 340889587 572437231 609832628 681779174 1024103153 1144874462 1363558348 1868897183 2048206306 2289748924 3138336779 3737794366 4096412612 6276673558 7017179989 7475588732 12553347116 14034359978 28068719956 30339173243 60678346486 121356692972 166331849287 332663698574 371910539417 624529019021 665327397148 743821078834 1249058038042 1487642157668 2498116076084 33100038008113 66200076016226 132400152032452