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134147040 = 25352329419
BaseRepresentation
bin1111111111011…
…10101111100000
3100100102101010220
413333232233200
5233320201130
621151123040
73216142146
oct777565740
9310371126
10134147040
11697a4725
1238b13480
1321a3b261
1413b5d596
15bb9c410
hex7feebe0

134147040 has 192 divisors, whose sum is σ = 457228800. Its totient is φ = 32958464.

The previous prime is 134147033. The next prime is 134147047. The reversal of 134147040 is 40741431.

It is an interprime number because it is at equal distance from previous prime (134147033) and next prime (134147047).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134147040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134147047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319951 + ... + 320369.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2134147040 is an apocalyptic number.

134147040 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 134147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

134147040 is an abundant number, since it is smaller than the sum of its proper divisors (323081760).

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

134147040 is a wasteful number, since it uses less digits than its factorization.

134147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 134147040 is about 11582.1863221069. The cubic root of 134147040 is about 511.9100997756.

Adding to 134147040 its reverse (40741431), we get a palindrome (174888471).

The spelling of 134147040 in words is "one hundred thirty-four million, one hundred forty-seven thousand, forty".