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135357804 = 223715473
BaseRepresentation
bin10000001000101…
…10010101101100
3100102200220000000
420010112111230
5234122422204
621233104300
73232344111
oct1004262554
9312626000
10135357804
116a45135a
12393b8090
132207339a
1413d96908
15bd3b039
hex811656c

135357804 has 48 divisors (see below), whose sum is σ = 355283040. Its totient is φ = 45116352.

The previous prime is 135357797. The next prime is 135357809. The reversal of 135357804 is 408753531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135357809) by changing a digit.

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, 1012 + ... + 16484.

It is an arithmetic number, because the mean of its divisors is an integer number (7401730).

Almost surely, 2135357804 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 135357804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177641520).

135357804 is an abundant number, since it is smaller than the sum of its proper divisors (219925236).

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

135357804 is an equidigital number, since it uses as much as digits as its factorization.

135357804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15498 (or 15478 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 135357804 is about 11634.3372823724. The cubic root of 135357804 is about 513.4455962187.

It can be divided in two parts, 135357 and 804, that added together give a square (136161 = 3692).

The spelling of 135357804 in words is "one hundred thirty-five million, three hundred fifty-seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 15473 30946 46419 61892 92838 139257 185676 278514 417771 557028 835542 1253313 1671084 2506626 3759939 5013252 7519878 11279817 15039756 22559634 33839451 45119268 67678902 135357804