Search a number
-
+
132935148 = 22331230881
BaseRepresentation
bin1111110110001…
…10110111101100
3100021010210202000
413323012313230
5233012411043
621105132300
73202634013
oct773066754
9307123660
10132935148
1169047165
123862a090
1321705768
1413925a7a
15ba0d2d3
hex7ec6dec

132935148 has 24 divisors (see below), whose sum is σ = 344646960. Its totient is φ = 44311680.

The previous prime is 132935141. The next prime is 132935149. The reversal of 132935148 is 841539231.

132935148 is a `hidden beast` number, since 132 + 9 + 3 + 514 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (132935141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 615333 + ... + 615548.

It is an arithmetic number, because the mean of its divisors is an integer number (14360290).

Almost surely, 2132935148 is an apocalyptic number.

132935148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132935148 is an abundant number, since it is smaller than the sum of its proper divisors (211711812).

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

132935148 is a wasteful number, since it uses less digits than its factorization.

132935148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230894 (or 1230886 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 132935148 is about 11529.7505610486. The cubic root of 132935148 is about 510.3638925447.

The spelling of 132935148 in words is "one hundred thirty-two million, nine hundred thirty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1230881 2461762 3692643 4923524 7385286 11077929 14770572 22155858 33233787 44311716 66467574 132935148