Search a number
-
+
137715942 = 23713534759
BaseRepresentation
bin10000011010101…
…10000011100110
3100121010200202110
420031112003212
5240223402232
621355421450
73261365130
oct1015260346
9317120673
10137715942
1170812031
123a154886
13226ba830
141440c050
15c154acc
hex83560e6

137715942 has 64 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 35627904.

The previous prime is 137715923. The next prime is 137715943. The reversal of 137715942 is 249517731.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 137715942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137715943) 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, 26559 + ... + 31317.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2137715942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137715942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

137715942 is an abundant number, since it is smaller than the sum of its proper divisors (207745818).

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

137715942 is a wasteful number, since it uses less digits than its factorization.

137715942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837.

The product of its digits is 52920, while the sum is 39.

The square root of 137715942 is about 11735.2435850305. The cubic root of 137715942 is about 516.4101135350.

The spelling of 137715942 in words is "one hundred thirty-seven million, seven hundred fifteen thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 182 273 318 371 546 689 742 1113 1378 2067 2226 4134 4759 4823 9518 9646 14277 14469 28554 28938 33313 61867 66626 99939 123734 185601 199878 252227 371202 433069 504454 756681 866138 1299207 1513362 1765589 2598414 3278951 3531178 5296767 6557902 9836853 10593534 19673706 22952657 45905314 68857971 137715942