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134044900 = 225211233523
BaseRepresentation
bin1111111110101…
…01110011100100
3100100020012000221
413333111303210
5233303414100
621145014124
73215235313
oct777256344
9310205027
10134044900
1169734a10
1238a84344
1321a03912
1413b3427a
15bb7c01a
hex7fd5ce4

134044900 has 72 divisors (see below), whose sum is σ = 319292064. Its totient is φ = 48441600.

The previous prime is 134044891. The next prime is 134044903. The reversal of 134044900 is 9440431.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134044903) 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, 256039 + ... + 256561.

It is an arithmetic number, because the mean of its divisors is an integer number (4434612).

Almost surely, 2134044900 is an apocalyptic number.

134044900 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 134044900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159646032).

134044900 is an abundant number, since it is smaller than the sum of its proper divisors (185247164).

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

134044900 is a wasteful number, since it uses less digits than its factorization.

134044900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 134044900 is about 11577.7761249732. The cubic root of 134044900 is about 511.7801434391.

The spelling of 134044900 in words is "one hundred thirty-four million, forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 233 275 466 523 550 932 1046 1100 1165 2092 2330 2563 2615 4660 5126 5230 5753 5825 10252 10460 11506 11650 12815 13075 23012 23300 25630 26150 28765 51260 52300 57530 64075 115060 121859 128150 143825 243718 256300 287650 487436 575300 609295 1218590 1340449 2437180 2680898 3046475 5361796 6092950 6702245 12185900 13404490 26808980 33511225 67022450 134044900