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135492040 = 235171910487
BaseRepresentation
bin10000001001101…
…11000111001000
3100102221201010201
420010313013020
5234141221130
621240021544
73233443345
oct1004670710
9312851121
10135492040
116a5331a2
12394618b4
13220bc508
1413dcd7cc
15bd65bca
hex81371c8

135492040 has 64 divisors (see below), whose sum is σ = 339811200. Its totient is φ = 48319488.

The previous prime is 135492037. The next prime is 135492047. The reversal of 135492040 is 40294531.

It is not an unprimeable number, because it can be changed into a prime (135492047) 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, 7677 + ... + 18163.

It is an arithmetic number, because the mean of its divisors is an integer number (5309550).

Almost surely, 2135492040 is an apocalyptic number.

135492040 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 135492040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169905600).

135492040 is an abundant number, since it is smaller than the sum of its proper divisors (204319160).

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

135492040 is a wasteful number, since it uses less digits than its factorization.

135492040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534 (or 10530 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 135492040 is about 11640.1048105247. The cubic root of 135492040 is about 513.6152702473.

The spelling of 135492040 in words is "one hundred thirty-five million, four hundred ninety-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 10487 12920 20974 41948 52435 83896 104870 178279 199253 209740 356558 398506 419480 713116 797012 891395 996265 1426232 1594024 1782790 1992530 3387301 3565580 3985060 6774602 7131160 7970120 13549204 16936505 27098408 33873010 67746020 135492040