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135087336 = 233229312087
BaseRepresentation
bin10000000110101…
…00010011101000
3100102012010222200
420003110103220
5234040243321
621223220200
73230136426
oct1003242350
9312163880
10135087336
116a28712a
12392a7660
1321caa247
1413d26116
15bcd5d26
hex80d44e8

135087336 has 96 divisors (see below), whose sum is σ = 390873600. Its totient is φ = 42053760.

The previous prime is 135087313. The next prime is 135087347. The reversal of 135087336 is 633780531.

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 135087336.

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, 63685 + ... + 65771.

It is an arithmetic number, because the mean of its divisors is an integer number (4071600).

Almost surely, 2135087336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135087336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195436800).

135087336 is an abundant number, since it is smaller than the sum of its proper divisors (255786264).

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

135087336 is a wasteful number, since it uses less digits than its factorization.

135087336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 135087336 is about 11622.7077740086. The cubic root of 135087336 is about 513.1033842000.

The spelling of 135087336 in words is "one hundred thirty-five million, eighty-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 31 36 58 62 72 87 93 116 124 174 186 232 248 261 279 348 372 522 558 696 744 899 1044 1116 1798 2087 2088 2232 2697 3596 4174 5394 6261 7192 8091 8348 10788 12522 16182 16696 18783 21576 25044 32364 37566 50088 60523 64697 64728 75132 121046 129394 150264 181569 194091 242092 258788 363138 388182 484184 517576 544707 582273 726276 776364 1089414 1164546 1452552 1552728 1876213 2178828 2329092 3752426 4357656 4658184 5628639 7504852 11257278 15009704 16885917 22514556 33771834 45029112 67543668 135087336