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134145024 = 2103133359
BaseRepresentation
bin1111111111011…
…10010000000000
3100100102021101020
413333232100000
5233320120044
621151105440
73216133236
oct777562000
9310367336
10134145024
11697a3162
1238b12280
1321a3a370
1413b5c956
15bb9ba19
hex7fee400

134145024 has 88 divisors (see below), whose sum is σ = 385163520. Its totient is φ = 41263104.

The previous prime is 134144971. The next prime is 134145041. The reversal of 134145024 is 420541431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 134144985 and 134145003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38257 + ... + 41615.

Almost surely, 2134145024 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 134145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192581760).

134145024 is an abundant number, since it is smaller than the sum of its proper divisors (251018496).

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

134145024 is a wasteful number, since it uses less digits than its factorization.

134145024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 134145024 is about 11582.0992915792. The cubic root of 134145024 is about 511.9075353857.

Adding to 134145024 its reverse (420541431), we get a palindrome (554686455).

The spelling of 134145024 in words is "one hundred thirty-four million, one hundred forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 3359 4992 6656 6718 9984 10077 13312 13436 19968 20154 26872 39936 40308 43667 53744 80616 87334 107488 131001 161232 174668 214976 262002 322464 349336 429952 524004 644928 698672 859904 1048008 1289856 1397344 1719808 2096016 2579712 2794688 3439616 4192032 5159424 5589376 8384064 10318848 11178752 16768128 22357504 33536256 44715008 67072512 134145024