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134145828 = 22333493559
BaseRepresentation
bin1111111111011…
…10011100100100
3100100102022111000
413333232130210
5233320131303
621151113300
73216135465
oct777563444
9310368430
10134145828
11697a3823
1238b12830
1321a3a83b
1413b5cd6c
15bb9bda3
hex7fee724

134145828 has 48 divisors (see below), whose sum is σ = 348880000. Its totient is φ = 44574624.

The previous prime is 134145811. The next prime is 134145829. The reversal of 134145828 is 828541431.

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

It is a junction number, because it is equal to n+sod(n) for n = 134145792 and 134145801.

It is not an unprimeable number, because it can be changed into a prime (134145829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35913 + ... + 39471.

Almost surely, 2134145828 is an apocalyptic number.

134145828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134145828 is an abundant number, since it is smaller than the sum of its proper divisors (214734172).

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

134145828 is a wasteful number, since it uses less digits than its factorization.

134145828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3913 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 134145828 is about 11582.1340002609. The cubic root of 134145828 is about 511.9085580919.

134145828 divided by its sum of digits (36) gives a palindrome (3726273).

It can be divided in two parts, 134145 and 828, that multiplied together give a triangular number (111072060 = T14904).

The spelling of 134145828 in words is "one hundred thirty-four million, one hundred forty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 349 698 1047 1396 2094 3141 3559 4188 6282 7118 9423 10677 12564 14236 18846 21354 32031 37692 42708 64062 96093 128124 192186 384372 1242091 2484182 3726273 4968364 7452546 11178819 14905092 22357638 33536457 44715276 67072914 134145828