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135358831 = 1943316453
BaseRepresentation
bin10000001000101…
…10100101101111
3100102200221102001
420010112211233
5234122440311
621233113131
73232350106
oct1004264557
9312627361
10135358831
116a452103
12393b87a7
13220739aa
1413d9703d
15bd3b4c1
hex811696f

135358831 has 8 divisors (see below), whose sum is σ = 142820720. Its totient is φ = 127930752.

The previous prime is 135358823. The next prime is 135358849. The reversal of 135358831 is 138853531.

135358831 is a nontrivial binomial coefficient, being equal to C(16454, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 7-Lehmer number, since φ(135358831) divides (135358831-1)7.

It is a cyclic number.

It is not a de Polignac number, because 135358831 - 23 = 135358823 is a prime.

It is a super-2 number, since 2×1353588312 = 36644026259373122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135358871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 16453.

It is an arithmetic number, because the mean of its divisors is an integer number (17852590).

Almost surely, 2135358831 is an apocalyptic number.

135358831 is the 16453-rd triangular number and also the 8227-th hexagonal number.

135358831 is the 5485-th centered nonagonal number.

135358831 is a deficient number, since it is larger than the sum of its proper divisors (7461889).

135358831 is a wasteful number, since it uses less digits than its factorization.

135358831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16905.

The product of its digits is 43200, while the sum is 37.

The square root of 135358831 is about 11634.3814188809. The cubic root of 135358831 is about 513.4468947704.

It can be divided in two parts, 13535 and 8831, that added together give a triangular number (22366 = T211).

The spelling of 135358831 in words is "one hundred thirty-five million, three hundred fifty-eight thousand, eight hundred thirty-one".

Divisors: 1 19 433 8227 16453 312607 7124149 135358831