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137825044 = 2272897901
BaseRepresentation
bin10000011011100…
…00101100010100
3100121100020102021
420031300230110
5240240400134
621402022524
73262331200
oct1015605424
9317306367
10137825044
1170886aa5
123a1a7a44
13227283a6
1414439b00
15c1770b4
hex8370b14

137825044 has 36 divisors (see below), whose sum is σ = 283760820. Its totient is φ = 58396800.

The previous prime is 137825011. The next prime is 137825057. The reversal of 137825044 is 440528731.

It can be written as a sum of positive squares in 2 ways, for example, as 59290000 + 78535044 = 7700^2 + 8862^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13494 + ... + 21394.

It is an arithmetic number, because the mean of its divisors is an integer number (7882245).

Almost surely, 2137825044 is an apocalyptic number.

137825044 is a gapful number since it is divisible by the number (14) 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 137825044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141880410).

137825044 is an abundant number, since it is smaller than the sum of its proper divisors (145935776).

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

137825044 is a wasteful number, since it uses less digits than its factorization.

137825044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 7999 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 137825044 is about 11739.8911408922. The cubic root of 137825044 is about 516.5464485242.

The spelling of 137825044 in words is "one hundred thirty-seven million, eight hundred twenty-five thousand, forty-four".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 356 623 1246 2492 4361 7901 8722 15802 17444 31604 55307 110614 221228 387149 703189 774298 1406378 1548596 2812756 4922323 9844646 19689292 34456261 68912522 137825044