Search a number
-
+
134522640 = 24335723141
BaseRepresentation
bin10000000010010…
…10011100010000
3100101010110101000
420001022130100
5233414211030
621203142000
73222265200
oct1001123420
9311113330
10134522640
1169a3093a
1239074900
1321b401c5
1413c1a400
15bc23860
hex804a710

134522640 has 480 divisors, whose sum is σ = 569963520. Its totient is φ = 29030400.

The previous prime is 134522627. The next prime is 134522651. The reversal of 134522640 is 46225431.

134522640 is a `hidden beast` number, since 13 + 4 + 5 + 2 + 2 + 640 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3281020 + ... + 3281060.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2134522640 is an apocalyptic number.

134522640 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 134522640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

134522640 is an abundant number, since it is smaller than the sum of its proper divisors (435440880).

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

134522640 is a wasteful number, since it uses less digits than its factorization.

134522640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

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

The square root of 134522640 is about 11598.3895433806. The cubic root of 134522640 is about 512.3874224271.

The spelling of 134522640 in words is "one hundred thirty-four million, five hundred twenty-two thousand, six hundred forty".