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134105151400 = 235211166936523
BaseRepresentation
bin111110011100101001…
…0100011011110101000
3110211011000111112200021
41330321102203132220
54144121404321100
6141335042450224
712455151656533
oct1747122433650
9424130445607
10134105151400
1151967953140
1221ba7663974
13c8525216bc
1466c2791a1a
15374d459a1a
hex1f394a37a8

134105151400 has 96 divisors (see below), whose sum is σ = 340352546400. Its totient is φ = 48734956800.

The previous prime is 134105151361. The next prime is 134105151403. The reversal of 134105151400 is 4151501431.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (134105151403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3653539 + ... + 3690061.

It is an arithmetic number, because the mean of its divisors is an integer number (3545339025).

Almost surely, 2134105151400 is an apocalyptic number.

134105151400 is a gapful number since it is divisible by the number (10) 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 134105151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170176273200).

134105151400 is an abundant number, since it is smaller than the sum of its proper divisors (206247395000).

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

134105151400 is a wasteful number, since it uses less digits than its factorization.

134105151400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38219 (or 38210 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 134105151400 its reverse (4151501431), we get a palindrome (138256652831).

The spelling of 134105151400 in words is "one hundred thirty-four billion, one hundred five million, one hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1669 2200 3338 6676 8345 13352 16690 18359 33380 36523 36718 41725 66760 73046 73436 83450 91795 146092 146872 166900 182615 183590 292184 333800 365230 367180 401753 458975 730460 734360 803506 913075 917950 1460920 1607012 1826150 1835900 2008765 3214024 3652300 3671800 4017530 7304600 8035060 10043825 16070120 20087650 40175300 60956887 80350600 121913774 243827548 304784435 487655096 609568870 670525757 1219137740 1341051514 1523922175 2438275480 2682103028 3047844350 3352628785 5364206056 6095688700 6705257570 12191377400 13410515140 16763143925 26821030280 33526287850 67052575700 134105151400