Search a number
-
+
132476136 = 233132318461
BaseRepresentation
bin1111110010101…
…10110011101000
3100020021111002120
413321112303220
5232403214021
621051231240
73166012542
oct771266350
9306244076
10132476136
1168863311
1238448520
13215a4860
1413846692
15b96c2c6
hex7e56ce8

132476136 has 64 divisors (see below), whose sum is σ = 372193920. Its totient is φ = 38987520.

The previous prime is 132476107. The next prime is 132476143. The reversal of 132476136 is 631674231.

It is a junction number, because it is equal to n+sod(n) for n = 132476097 and 132476106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2055 + ... + 16406.

It is an arithmetic number, because the mean of its divisors is an integer number (5815530).

Almost surely, 2132476136 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 132476136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186096960).

132476136 is an abundant number, since it is smaller than the sum of its proper divisors (239717784).

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

132476136 is a wasteful number, since it uses less digits than its factorization.

132476136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18506 (or 18502 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 132476136 is about 11509.8278006233. The cubic root of 132476136 is about 509.7758030333.

The spelling of 132476136 in words is "one hundred thirty-two million, four hundred seventy-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 7176 18461 36922 55383 73844 110766 147688 221532 239993 424603 443064 479986 719979 849206 959972 1273809 1439958 1698412 1919944 2547618 2879916 3396824 5095236 5519839 5759832 10190472 11039678 16559517 22079356 33119034 44158712 66238068 132476136