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135040446 = 2351391999
BaseRepresentation
bin10000000110010…
…00110110111110
3100102002202200000
420003020312332
5234032243241
621222215130
73226552632
oct1003106676
9312082600
10135040446
116a254982
12392844a6
1321c91ab8
1413d12dc2
15bcc6eb6
hex80c8dbe

135040446 has 48 divisors (see below), whose sum is σ = 305760000. Its totient is φ = 44667288.

The previous prime is 135040441. The next prime is 135040453. The reversal of 135040446 is 644040531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135040441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66555 + ... + 68553.

It is an arithmetic number, because the mean of its divisors is an integer number (6370000).

Almost surely, 2135040446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135040446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152880000).

135040446 is an abundant number, since it is smaller than the sum of its proper divisors (170719554).

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

135040446 is a wasteful number, since it uses less digits than its factorization.

135040446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 135040446 is about 11620.6904269927. The cubic root of 135040446 is about 513.0440097670.

Adding to 135040446 its reverse (644040531), we get a palindrome (779080977).

The spelling of 135040446 in words is "one hundred thirty-five million, forty thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 243 278 417 486 834 1251 1999 2502 3753 3998 5997 7506 11259 11994 17991 22518 33777 35982 53973 67554 107946 161919 277861 323838 485757 555722 833583 971514 1667166 2500749 5001498 7502247 15004494 22506741 45013482 67520223 135040446