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135141501 = 31137110681
BaseRepresentation
bin10000000111000…
…01100001111101
3100102021220021210
420003201201331
5234044012001
621224315033
73230453355
oct1003414175
9312256253
10135141501
116a3138a0
1239312a79
1321cc8ab1
1413d3bb65
15bce6dd6
hex80e187d

135141501 has 16 divisors (see below), whose sum is σ = 201883968. Its totient is φ = 79689600.

The previous prime is 135141481. The next prime is 135141521. The reversal of 135141501 is 105141531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135141481) and next prime (135141521).

It is not a de Polignac number, because 135141501 - 215 = 135108733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135141521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54120 + ... + 56561.

It is an arithmetic number, because the mean of its divisors is an integer number (12617748).

Almost surely, 2135141501 is an apocalyptic number.

135141501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135141501 is a deficient number, since it is larger than the sum of its proper divisors (66742467).

135141501 is a wasteful number, since it uses less digits than its factorization.

135141501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110732.

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 135141501 is about 11625.0376773583. The cubic root of 135141501 is about 513.1719534973.

The spelling of 135141501 in words is "one hundred thirty-five million, one hundred forty-one thousand, five hundred one".

Divisors: 1 3 11 33 37 111 407 1221 110681 332043 1217491 3652473 4095197 12285591 45047167 135141501