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135453340 = 225114115017
BaseRepresentation
bin10000001001011…
…01101010011100
3100102212202001101
420010231222130
5234134001330
621235122444
73233222461
oct1004555234
9312782041
10135453340
116a507110
1239443424
13220a7a09
1413dbd668
15bd594ca
hex812da9c

135453340 has 48 divisors (see below), whose sum is σ = 317901024. Its totient is φ = 48051200.

The previous prime is 135453323. The next prime is 135453347. The reversal of 135453340 is 43354531.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 135453299 and 135453308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135453347) 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, 1512 + ... + 16528.

It is an arithmetic number, because the mean of its divisors is an integer number (6622938).

Almost surely, 2135453340 is an apocalyptic number.

135453340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135453340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158950512).

135453340 is an abundant number, since it is smaller than the sum of its proper divisors (182447684).

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

135453340 is a wasteful number, since it uses less digits than its factorization.

135453340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15078 (or 15076 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 135453340 is about 11638.4423356392. The cubic root of 135453340 is about 513.5663650282.

The spelling of 135453340 in words is "one hundred thirty-five million, four hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 15017 30034 60068 75085 150170 165187 300340 330374 615697 660748 825935 1231394 1651870 2462788 3078485 3303740 6156970 6772667 12313940 13545334 27090668 33863335 67726670 135453340