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134419936 = 2572591453
BaseRepresentation
bin10000000001100…
…01010111100000
3100100221020111011
420000301113200
5233402414221
621201030304
73221356600
oct1000612740
9310836434
10134419936
1169970762
1239025394
1321b05531
1413bd0c00
15bc031e1
hex80315e0

134419936 has 72 divisors (see below), whose sum is σ = 313278840. Its totient is φ = 56593152.

The previous prime is 134419931. The next prime is 134419939. The reversal of 134419936 is 639914431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134419931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91786 + ... + 93238.

It is an arithmetic number, because the mean of its divisors is an integer number (4351095).

Almost surely, 2134419936 is an apocalyptic number.

134419936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134419936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156639420).

134419936 is an abundant number, since it is smaller than the sum of its proper divisors (178858904).

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

134419936 is a wasteful number, since it uses less digits than its factorization.

134419936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1521 counting only the distinct ones).

The product of its digits is 69984, while the sum is 40.

The square root of 134419936 is about 11593.9611867558. The cubic root of 134419936 is about 512.2569917530.

The spelling of 134419936 in words is "one hundred thirty-four million, four hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 98 112 118 196 224 236 392 413 472 784 826 944 1453 1568 1652 1888 2891 2906 3304 5782 5812 6608 10171 11564 11624 13216 20342 23128 23248 40684 46256 46496 71197 81368 85727 92512 142394 162736 171454 284788 325472 342908 569576 600089 685816 1139152 1200178 1371632 2278304 2400356 2743264 4200623 4800712 8401246 9601424 16802492 19202848 33604984 67209968 134419936