Search a number
BaseRepresentation
bin10000001000100…
…00000000000000
3100102122120101101
420010100000000
5234121104330
621232344144
73232205320
oct1004200000
9312576341
10135331840
116a4338a6
12393a5054
1322064617
1413d8b280
15bd334ca
hex8110000

135331840 has 136 divisors (see below), whose sum is σ = 377484480. Its totient is φ = 45613056.

The previous prime is 135331837. The next prime is 135331897. The reversal of 135331840 is 48133531.

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 Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 135331799 and 135331808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2293731 + ... + 2293789.

Almost surely, 2135331840 is an apocalyptic number.

135331840 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 135331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188742240).

135331840 is an abundant number, since it is smaller than the sum of its proper divisors (242152640).

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

135331840 is an frugal number, since it uses more digits than its factorization.

135331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

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

The square root of 135331840 is about 11633.2213939218. The cubic root of 135331840 is about 513.4127648303.

The spelling of 135331840 in words is "one hundred thirty-five million, three hundred thirty-one thousand, eight hundred forty".