Search a number
-
+
136178496 = 2634109241
BaseRepresentation
bin10000001110111…
…10101101000000
3100111020120210000
420013132231000
5234330202441
621302440000
73242332566
oct1007365500
9314216700
10136178496
116a961a13
1239733000
132229cabc
141412ba36
15be4e2b6
hex81deb40

136178496 has 140 divisors (see below), whose sum is σ = 409069540. Its totient is φ = 44789760.

The previous prime is 136178479. The next prime is 136178531. The reversal of 136178496 is 694871631.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98724096 + 37454400 = 9936^2 + 6120^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 564936 + ... + 565176.

Almost surely, 2136178496 is an apocalyptic number.

136178496 is a gapful number since it is divisible by the number (16) 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 136178496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204534770).

136178496 is an abundant number, since it is smaller than the sum of its proper divisors (272891044).

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

136178496 is a wasteful number, since it uses less digits than its factorization.

136178496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 355 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 136178496 is about 11669.5542331316. The cubic root of 136178496 is about 514.4812018733.

The spelling of 136178496 in words is "one hundred thirty-six million, one hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 109 144 162 192 216 218 241 288 324 327 432 436 482 576 648 654 723 864 872 964 981 1296 1308 1446 1728 1744 1928 1962 2169 2592 2616 2892 2943 3488 3856 3924 4338 5184 5232 5784 5886 6507 6976 7712 7848 8676 8829 10464 11568 11772 13014 15424 15696 17352 17658 19521 20928 23136 23544 26028 26269 31392 34704 35316 39042 46272 47088 52056 52538 62784 69408 70632 78084 78807 94176 104112 105076 138816 141264 156168 157614 188352 208224 210152 236421 282528 312336 315228 416448 420304 472842 565056 624672 630456 709263 840608 945684 1249344 1260912 1418526 1681216 1891368 2127789 2521824 2837052 3782736 4255578 5043648 5674104 7565472 8511156 11348208 15130944 17022312 22696416 34044624 45392832 68089248 136178496