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135054324 = 22331724327
BaseRepresentation
bin10000000110011…
…00001111110100
3100102010110201000
420003030033310
5234033214244
621222403300
73226641246
oct1003141764
9312113630
10135054324
116a264349
1239290530
1321c98202
1413d18096
15bccb169
hex80cc3f4

135054324 has 72 divisors (see below), whose sum is σ = 372034880. Its totient is φ = 42360192.

The previous prime is 135054317. The next prime is 135054347. The reversal of 135054324 is 423450531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 29049 + ... + 33375.

Almost surely, 2135054324 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 135054324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186017440).

135054324 is an abundant number, since it is smaller than the sum of its proper divisors (236980556).

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

135054324 is a wasteful number, since it uses less digits than its factorization.

135054324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 135054324 is about 11621.2875362414. The cubic root of 135054324 is about 513.0615842075.

The spelling of 135054324 in words is "one hundred thirty-five million, fifty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 289 306 459 578 612 867 918 1156 1734 1836 2601 3468 4327 5202 7803 8654 10404 12981 15606 17308 25962 31212 38943 51924 73559 77886 116829 147118 155772 220677 233658 294236 441354 467316 662031 882708 1250503 1324062 1986093 2501006 2648124 3751509 3972186 5002012 7503018 7944372 11254527 15006036 22509054 33763581 45018108 67527162 135054324