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132785613 = 3273202109
BaseRepresentation
bin1111110101000…
…10010111001101
3100020212012121200
413322202113031
5232443114423
621102020113
73201442032
oct772422715
9306765550
10132785613
1168a54884
1238577639
132168268c
14138c7389
15b9cdd43
hex7ea25cd

132785613 has 12 divisors (see below), whose sum is σ = 194429820. Its totient is φ = 87310656.

The previous prime is 132785603. The next prime is 132785621. The reversal of 132785613 is 316587231.

132785613 is a `hidden beast` number, since 1 + 32 + 7 + 8 + 5 + 613 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76265289 + 56520324 = 8733^2 + 7518^2 .

It is not a de Polignac number, because 132785613 - 220 = 131737037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132785603) 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, 100398 + ... + 101711.

It is an arithmetic number, because the mean of its divisors is an integer number (16202485).

Almost surely, 2132785613 is an apocalyptic number.

It is an amenable number.

132785613 is a deficient number, since it is larger than the sum of its proper divisors (61644207).

132785613 is a wasteful number, since it uses less digits than its factorization.

132785613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202188 (or 202185 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 132785613 is about 11523.2639907276. The cubic root of 132785613 is about 510.1724560951.

The spelling of 132785613 in words is "one hundred thirty-two million, seven hundred eighty-five thousand, six hundred thirteen".

Divisors: 1 3 9 73 219 657 202109 606327 1818981 14753957 44261871 132785613