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137041740 = 223351123071
BaseRepresentation
bin10000010101100…
…01011101001100
3100112212102221000
420022301131030
5240040313430
621333140300
73252556413
oct1012613514
9315772830
10137041740
11703a1540
1239a8a690
13225129b4
14142b447a
15c06ee60
hex82b174c

137041740 has 96 divisors (see below), whose sum is σ = 465131520. Its totient is φ = 33220800.

The previous prime is 137041739. The next prime is 137041741. The reversal of 137041740 is 47140731.

137041740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137041739) and next prime (137041741).

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

It is not an unprimeable number, because it can be changed into a prime (137041741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5596 + ... + 17475.

It is an arithmetic number, because the mean of its divisors is an integer number (4845120).

Almost surely, 2137041740 is an apocalyptic number.

137041740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137041740 is an abundant number, since it is smaller than the sum of its proper divisors (328089780).

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

137041740 is a wasteful number, since it uses less digits than its factorization.

137041740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23100 (or 23092 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 137041740 is about 11706.4828193612. The cubic root of 137041740 is about 515.5660223452.

The spelling of 137041740 in words is "one hundred thirty-seven million, forty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 23071 46142 69213 92284 115355 138426 207639 230710 253781 276852 346065 415278 461420 507562 622917 692130 761343 830556 1015124 1038195 1245834 1268905 1384260 1522686 2076390 2284029 2491668 2537810 3045372 3114585 3806715 4152780 4568058 5075620 6229170 6852087 7613430 9136116 11420145 12458340 13704174 15226860 22840290 27408348 34260435 45680580 68520870 137041740