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145936178136 = 233272391211531
BaseRepresentation
bin1000011111101001111…
…0010101101111011000
3111221200112122222021200
42013322132111233120
54342334130200021
6151013034434200
713354302022050
oct2077236255730
9457615588250
10145936178136
1156989193691
1224349892960
13109b9673338
1470c5b86560
153be1e4e126
hex21fa795bd8

145936178136 has 96 divisors (see below), whose sum is σ = 453597580800. Its totient is φ = 41521556160.

The previous prime is 145936178111. The next prime is 145936178209. The reversal of 145936178136 is 631871639541.

145936178136 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 3 + 617 + 8 + 13 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485310 + ... + 726221.

It is an arithmetic number, because the mean of its divisors is an integer number (4724974800).

Almost surely, 2145936178136 is an apocalyptic number.

It is an amenable number.

145936178136 is an abundant number, since it is smaller than the sum of its proper divisors (307661402664).

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

145936178136 is a wasteful number, since it uses less digits than its factorization.

145936178136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211789 (or 1211782 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 145936178136 in words is "one hundred forty-five billion, nine hundred thirty-six million, one hundred seventy-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 239 252 478 504 717 956 1434 1673 1912 2151 2868 3346 4302 5019 5736 6692 8604 10038 13384 15057 17208 20076 30114 40152 60228 120456 1211531 2423062 3634593 4846124 7269186 8480717 9692248 10903779 14538372 16961434 21807558 25442151 29076744 33922868 43615116 50884302 67845736 76326453 87230232 101768604 152652906 203537208 289555909 305305812 579111818 610611624 868667727 1158223636 1737335454 2026891363 2316447272 2606003181 3474670908 4053782726 5212006362 6080674089 6949341816 8107565452 10424012724 12161348178 16215130904 18242022267 20848025448 24322696356 36484044534 48645392712 72968089068 145936178136