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135104976 = 2433312743
BaseRepresentation
bin10000000110110…
…00100111010000
3100102020001012000
420003120213100
5234041324401
621223434000
73230242026
oct1003304720
9312201160
10135104976
116a299406
12392b5900
1321cb5296
1413d2c716
15bcdb186
hex80d89d0

135104976 has 40 divisors (see below), whose sum is σ = 387802560. Its totient is φ = 45034848.

The previous prime is 135104971. The next prime is 135104989. The reversal of 135104976 is 679401531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135104976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135104971) 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, 155940 + ... + 156803.

It is an arithmetic number, because the mean of its divisors is an integer number (9695064).

Almost surely, 2135104976 is an apocalyptic number.

135104976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135104976 is an abundant number, since it is smaller than the sum of its proper divisors (252697584).

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

135104976 is a wasteful number, since it uses less digits than its factorization.

135104976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312760 (or 312748 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 135104976 is about 11623.4666085467. The cubic root of 135104976 is about 513.1257172823.

It can be divided in two parts, 135 and 104976, that added together give a triangular number (105111 = T458).

The spelling of 135104976 in words is "one hundred thirty-five million, one hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 312743 625486 938229 1250972 1876458 2501944 2814687 3752916 5003888 5629374 7505832 8444061 11258748 15011664 16888122 22517496 33776244 45034992 67552488 135104976