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135352014 = 23723114851
BaseRepresentation
bin10000001000101…
…00111011001110
3100102200121001120
420010110323032
5234122231024
621233021410
73232321200
oct1004247316
9312617046
10135352014
116a447a76
12393b4866
1322070865
1413d94770
15bd39479
hex8114ece

135352014 has 48 divisors (see below), whose sum is σ = 325080576. Its totient is φ = 37422000.

The previous prime is 135351973. The next prime is 135352051. The reversal of 135352014 is 410253531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1689 + ... + 16539.

It is an arithmetic number, because the mean of its divisors is an integer number (6772512).

Almost surely, 2135352014 is an apocalyptic number.

135352014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135352014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162540288).

135352014 is an abundant number, since it is smaller than the sum of its proper divisors (189728562).

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

135352014 is a wasteful number, since it uses less digits than its factorization.

135352014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14901 (or 14894 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 135352014 is about 11634.0884473172. The cubic root of 135352014 is about 513.4382751474.

The spelling of 135352014 in words is "one hundred thirty-five million, three hundred fifty-two thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 9114 14851 29702 44553 89106 103957 207914 311871 460381 623742 727699 920762 1381143 1455398 2183097 2762286 3222667 4366194 6445334 9668001 19336002 22558669 45117338 67676007 135352014