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134886900 = 22352521863
BaseRepresentation
bin10000000101000…
…11010111110100
3100101210222001010
420002203113310
5234012340100
621215032220
73225343161
oct1002432764
9311728033
10134886900
116a15a585
123920b670
1321c39c45
1413cb3068
15bc96750
hex80a35f4

134886900 has 72 divisors (see below), whose sum is σ = 391474944. Its totient is φ = 35859200.

The previous prime is 134886893. The next prime is 134886907. The reversal of 134886900 is 9688431.

It is an interprime number because it is at equal distance from previous prime (134886893) and next prime (134886907).

It is a super-2 number, since 2×1348869002 = 36388951583220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134886907) 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, 155869 + ... + 156731.

It is an arithmetic number, because the mean of its divisors is an integer number (5437152).

Almost surely, 2134886900 is an apocalyptic number.

134886900 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 134886900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195737472).

134886900 is an abundant number, since it is smaller than the sum of its proper divisors (256588044).

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

134886900 is a wasteful number, since it uses less digits than its factorization.

134886900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 134886900 is about 11614.0819697469. The cubic root of 134886900 is about 512.8494859934.

The spelling of 134886900 in words is "one hundred thirty-four million, eight hundred eighty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 521 863 1042 1563 1726 2084 2589 2605 3126 3452 4315 5178 5210 6252 7815 8630 10356 10420 12945 13025 15630 17260 21575 25890 26050 31260 39075 43150 51780 52100 64725 78150 86300 129450 156300 258900 449623 899246 1348869 1798492 2248115 2697738 4496230 5395476 6744345 8992460 11240575 13488690 22481150 26977380 33721725 44962300 67443450 134886900