Search a number
-
+
133770132 = 22323715837
BaseRepresentation
bin1111111100100…
…10101110010100
3100022201020010100
413332102232110
5233221121012
621135054100
73213012246
oct776225624
9308636110
10133770132
1169567531
1238971330
1321938832
1413aa2096
15bb258dc
hex7f92b94

133770132 has 18 divisors (see below), whose sum is σ = 338141258. Its totient is φ = 44590032.

The previous prime is 133770113. The next prime is 133770137. The reversal of 133770132 is 231077331.

It can be written as a sum of positive squares in only one way, i.e., 131882256 + 1887876 = 11484^2 + 1374^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 133770096 and 133770105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133770137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1857883 + ... + 1857954.

Almost surely, 2133770132 is an apocalyptic number.

133770132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133770132 is an abundant number, since it is smaller than the sum of its proper divisors (204371126).

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

133770132 is a wasteful number, since it uses less digits than its factorization.

133770132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715847 (or 3715842 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 133770132 is about 11565.9038557304. The cubic root of 133770132 is about 511.4302184053.

The spelling of 133770132 in words is "one hundred thirty-three million, seven hundred seventy thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3715837 7431674 11147511 14863348 22295022 33442533 44590044 66885066 133770132