Search a number
-
+
135074664 = 23324145757
BaseRepresentation
bin10000000110100…
…01001101101000
3100102011111121100
420003101031220
5234034342124
621223041400
73230054454
oct1003211550
9312144540
10135074664
116a27865a
12392a0260
1321ca454a
1413d21664
15bcd21c9
hex80d1368

135074664 has 48 divisors (see below), whose sum is σ = 374758020. Its totient is φ = 43925760.

The previous prime is 135074617. The next prime is 135074669. The reversal of 135074664 is 466470531.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 109369764 + 25704900 = 10458^2 + 5070^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135074669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19927 + ... + 25830.

Almost surely, 2135074664 is an apocalyptic number.

It is an amenable number.

135074664 is an abundant number, since it is smaller than the sum of its proper divisors (239683356).

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

135074664 is a wasteful number, since it uses less digits than its factorization.

135074664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45810 (or 45803 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 135074664 is about 11622.1626214745. The cubic root of 135074664 is about 513.0873396430.

The spelling of 135074664 in words is "one hundred thirty-five million, seventy-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 45757 91514 137271 183028 274542 366056 411813 549084 823626 1098168 1647252 1876037 3294504 3752074 5628111 7504148 11256222 15008296 16884333 22512444 33768666 45024888 67537332 135074664