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134002000 = 2453116091
BaseRepresentation
bin1111111110010…
…11010101010000
3100100011000012001
413333023111100
5233301031000
621144043344
73214666246
oct777132520
9310130161
10134002000
1169705760
1238a63554
13219ba232
1413b22796
15bb6e46a
hex7fcb550

134002000 has 80 divisors (see below), whose sum is σ = 353530944. Its totient is φ = 48720000.

The previous prime is 134001983. The next prime is 134002009. The reversal of 134002000 is 200431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134002009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18955 + ... + 25045.

Almost surely, 2134002000 is an apocalyptic number.

134002000 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 134002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176765472).

134002000 is an abundant number, since it is smaller than the sum of its proper divisors (219528944).

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

134002000 is a wasteful number, since it uses less digits than its factorization.

134002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125 (or 6109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 134002000 is about 11575.9232893104. The cubic root of 134002000 is about 511.7255405641.

Adding to 134002000 its reverse (200431), we get a palindrome (134202431).

It can be divided in two parts, 13400 and 2000, that added together give a triangular number (15400 = T175).

The spelling of 134002000 in words is "one hundred thirty-four million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 6091 11000 12182 22000 24364 30455 48728 60910 67001 97456 121820 134002 152275 243640 268004 304550 335005 487280 536008 609100 670010 761375 1072016 1218200 1340020 1522750 1675025 2436400 2680040 3045500 3350050 5360080 6091000 6700100 8375125 12182000 13400200 16750250 26800400 33500500 67001000 134002000