Search a number
-
+
136757772 = 223237831237
BaseRepresentation
bin10000010011011…
…00001000001100
3100112100000101200
420021230020030
5240002222042
621323105500
73250264464
oct1011541014
9315300350
10136757772
1170218158
1239972290
1322443678
141423cba4
15c015c4c
hex826c20c

136757772 has 72 divisors (see below), whose sum is σ = 359604336. Its totient is φ = 43784064.

The previous prime is 136757749. The next prime is 136757783. The reversal of 136757772 is 277757631.

136757772 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 577 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109938 + ... + 111174.

Almost surely, 2136757772 is an apocalyptic number.

136757772 is a gapful number since it is divisible by the number (12) 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 136757772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179802168).

136757772 is an abundant number, since it is smaller than the sum of its proper divisors (222846564).

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

136757772 is a wasteful number, since it uses less digits than its factorization.

136757772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1362 counting only the distinct ones).

The product of its digits is 432180, while the sum is 45.

The square root of 136757772 is about 11694.3478655289. The cubic root of 136757772 is about 515.2096698656.

The spelling of 136757772 in words is "one hundred thirty-six million, seven hundred fifty-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 83 111 148 166 222 249 332 333 444 498 666 747 996 1237 1332 1494 2474 2988 3071 3711 4948 6142 7422 9213 11133 12284 14844 18426 22266 27639 36852 44532 45769 55278 91538 102671 110556 137307 183076 205342 274614 308013 410684 411921 549228 616026 823842 924039 1232052 1647684 1848078 3696156 3798827 7597654 11396481 15195308 22792962 34189443 45585924 68378886 136757772