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134006040 = 233257411297
BaseRepresentation
bin1111111110011…
…00010100011000
3100100011012201200
413333030110120
5233301143130
621144114200
73215014110
oct777142430
9310135650
10134006040
11697087a3
1238a65960
13219bc01c
1413b24040
15bb70760
hex7fcc518

134006040 has 192 divisors, whose sum is σ = 510269760. Its totient is φ = 29859840.

The previous prime is 134006021. The next prime is 134006063. The reversal of 134006040 is 40600431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102672 + ... + 103968.

It is an arithmetic number, because the mean of its divisors is an integer number (2657655).

Almost surely, 2134006040 is an apocalyptic number.

134006040 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 134006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255134880).

134006040 is an abundant number, since it is smaller than the sum of its proper divisors (376263720).

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

134006040 is a wasteful number, since it uses less digits than its factorization.

134006040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 134006040 is about 11576.0977881150. The cubic root of 134006040 is about 511.7306831500.

Adding to 134006040 its reverse (40600431), we get a palindrome (174606471).

The spelling of 134006040 in words is "one hundred thirty-four million, six thousand, forty".