Search a number
-
+
137274456 = 233111773419
BaseRepresentation
bin10000010111010…
…10010001011000
3100120022021011010
420023222101120
5240120240311
621342133520
73254546034
oct1013522130
9316267133
10137274456
1170540370
1239b812a0
13225948b7
14143351c4
15c0b8da6
hex82ea458

137274456 has 128 divisors (see below), whose sum is σ = 402796800. Its totient is φ = 38522880.

The previous prime is 137274421. The next prime is 137274463. The reversal of 137274456 is 654472731.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 327415 + ... + 327833.

It is an arithmetic number, because the mean of its divisors is an integer number (3146850).

Almost surely, 2137274456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137274456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201398400).

137274456 is an abundant number, since it is smaller than the sum of its proper divisors (265522344).

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

137274456 is a wasteful number, since it uses less digits than its factorization.

137274456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 525 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 137274456 is about 11716.4182240137. The cubic root of 137274456 is about 515.8576916618.

The spelling of 137274456 in words is "one hundred thirty-seven million, two hundred seventy-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 73 88 102 132 136 146 187 204 219 264 292 374 408 419 438 561 584 748 803 838 876 1122 1241 1257 1496 1606 1676 1752 2244 2409 2482 2514 3212 3352 3723 4488 4609 4818 4964 5028 6424 7123 7446 9218 9636 9928 10056 13651 13827 14246 14892 18436 19272 21369 27302 27654 28492 29784 30587 36872 40953 42738 54604 55308 56984 61174 78353 81906 85476 91761 109208 110616 122348 156706 163812 170952 183522 235059 244696 313412 327624 336457 367044 470118 519979 626824 672914 734088 940236 1009371 1039958 1345828 1559937 1880472 2018742 2079916 2691656 3119874 4037484 4159832 5719769 6239748 8074968 11439538 12479496 17159307 22879076 34318614 45758152 68637228 137274456