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135503496 = 23334391429
BaseRepresentation
bin10000001001110…
…01111010001000
3100102222021212000
420010321322020
5234142102441
621240151000
73233521632
oct1004717210
9312867760
10135503496
116a540867
1239468460
13220c47ab
1413dd3a52
15bd692b6
hex8139e88

135503496 has 64 divisors (see below), whose sum is σ = 377520000. Its totient is φ = 45033408.

The previous prime is 135503477. The next prime is 135503503. The reversal of 135503496 is 694305531.

135503496 is a `hidden beast` number, since 13 + 550 + 3 + 4 + 96 = 666.

It is a super-2 number, since 2×1355034962 = 36722394856444032, which contains 22 as substring.

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 135503496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94110 + ... + 95538.

It is an arithmetic number, because the mean of its divisors is an integer number (5898750).

Almost surely, 2135503496 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 135503496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188760000).

135503496 is an abundant number, since it is smaller than the sum of its proper divisors (242016504).

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

135503496 is a wasteful number, since it uses less digits than its factorization.

135503496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 135503496 is about 11640.5968919124. The cubic root of 135503496 is about 513.6297454167.

The spelling of 135503496 in words is "one hundred thirty-five million, five hundred three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 439 878 1317 1429 1756 2634 2858 3512 3951 4287 5268 5716 7902 8574 10536 11432 11853 12861 15804 17148 23706 25722 31608 34296 38583 47412 51444 77166 94824 102888 154332 308664 627331 1254662 1881993 2509324 3763986 5018648 5645979 7527972 11291958 15055944 16937937 22583916 33875874 45167832 67751748 135503496