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134530400 = 2552337499
BaseRepresentation
bin10000000010011…
…00010101100000
3100101010212000102
420001030111200
5233414433100
621203241532
73222326624
oct1001142540
9311125012
10134530400
1169a36754
12390792a8
1321b438b4
1413c1d184
15bc25cd5
hex804c560

134530400 has 72 divisors (see below), whose sum is σ = 330057000. Its totient is φ = 53544960.

The previous prime is 134530387. The next prime is 134530411. The reversal of 134530400 is 4035431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269351 + ... + 269849.

It is an arithmetic number, because the mean of its divisors is an integer number (4584125).

Almost surely, 2134530400 is an apocalyptic number.

134530400 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 134530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165028500).

134530400 is an abundant number, since it is smaller than the sum of its proper divisors (195526600).

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

134530400 is a wasteful number, since it uses less digits than its factorization.

134530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 134530400 is about 11598.7240677585. The cubic root of 134530400 is about 512.3972746719.

Adding to 134530400 its reverse (4035431), we get a palindrome (138565831).

The spelling of 134530400 in words is "one hundred thirty-four million, five hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 337 400 499 674 800 998 1348 1685 1996 2495 2696 3370 3992 4990 5392 6740 7984 8425 9980 10784 12475 13480 15968 16850 19960 24950 26960 33700 39920 49900 53920 67400 79840 99800 134800 168163 199600 269600 336326 399200 672652 840815 1345304 1681630 2690608 3363260 4204075 5381216 6726520 8408150 13453040 16816300 26906080 33632600 67265200 134530400