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135414435132 = 22323761512087
BaseRepresentation
bin111111000011101010…
…1000100110100111100
3110221112021011001022100
41332013111010310330
54204312043411012
6142113013145100
712532460464344
oct1760725046474
9427467131270
10135414435132
1152479a11409
12222b202b190
13ca0085a1c2
1467a860bd24
1537c83808dc
hex1f87544d3c

135414435132 has 18 divisors (see below), whose sum is σ = 342297600008. Its totient is φ = 45138145032.

The previous prime is 135414435131. The next prime is 135414435133. The reversal of 135414435132 is 231534414531.

135414435132 is a `hidden beast` number, since 1 + 354 + 144 + 35 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (135414435131) and next prime (135414435133).

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3761512087 = 135414435132 / (1 + 3 + 5 + 4 + 1 + 4 + 4 + 3 + 5 + 1 + 3 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135414435131) 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, 1880756008 + ... + 1880756079.

Almost surely, 2135414435132 is an apocalyptic number.

135414435132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135414435132 is an abundant number, since it is smaller than the sum of its proper divisors (206883164876).

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

135414435132 is a wasteful number, since it uses less digits than its factorization.

135414435132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761512097 (or 3761512092 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 135414435132 its reverse (231534414531), we get a palindrome (366948849663).

The spelling of 135414435132 in words is "one hundred thirty-five billion, four hundred fourteen million, four hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3761512087 7523024174 11284536261 15046048348 22569072522 33853608783 45138145044 67707217566 135414435132