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135232992 = 2532499941
BaseRepresentation
bin10000000111101…
…11110111100000
3100102110112210100
420003313313200
5234104423432
621230302400
73231314166
oct1003676740
9312415710
10135232992
116a376604
1239357a00
132202b62b
1413d63236
15bd1407c
hex80f7de0

135232992 has 72 divisors (see below), whose sum is σ = 385749000. Its totient is φ = 44939520.

The previous prime is 135232957. The next prime is 135232997. The reversal of 135232992 is 299232531.

135232992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135232997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143242 + ... + 144182.

It is an arithmetic number, because the mean of its divisors is an integer number (5357625).

Almost surely, 2135232992 is an apocalyptic number.

135232992 is a gapful number since it is divisible by the number (12) 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 135232992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192874500).

135232992 is an abundant number, since it is smaller than the sum of its proper divisors (250516008).

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

135232992 is a wasteful number, since it uses less digits than its factorization.

135232992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1445 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 135232992 is about 11628.9720955895. The cubic root of 135232992 is about 513.2877334356.

The spelling of 135232992 in words is "one hundred thirty-five million, two hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 499 941 998 1497 1882 1996 2823 2994 3764 3992 4491 5646 5988 7528 7984 8469 8982 11292 11976 15056 15968 16938 17964 22584 23952 30112 33876 35928 45168 47904 67752 71856 90336 135504 143712 271008 469559 939118 1408677 1878236 2817354 3756472 4226031 5634708 7512944 8452062 11269416 15025888 16904124 22538832 33808248 45077664 67616496 135232992