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134936800 = 2552315441
BaseRepresentation
bin10000000101011…
…11100011100000
3100101220111111021
420002233203200
5234020434200
621220055224
73225641515
oct1002574340
9311814437
10134936800
116a194019
1239234514
1321c5687b
1413cc730c
15bca641a
hex80af8e0

134936800 has 72 divisors (see below), whose sum is σ = 340103232. Its totient is φ = 52224000.

The previous prime is 134936783. The next prime is 134936801. The reversal of 134936800 is 8639431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134936801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22080 + ... + 27520.

It is an arithmetic number, because the mean of its divisors is an integer number (4723656).

Almost surely, 2134936800 is an apocalyptic number.

134936800 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 134936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170051616).

134936800 is an abundant number, since it is smaller than the sum of its proper divisors (205166432).

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

134936800 is a wasteful number, since it uses less digits than its factorization.

134936800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492 (or 5479 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 134936800 is about 11616.2300252707. The cubic root of 134936800 is about 512.9127193004.

The spelling of 134936800 in words is "one hundred thirty-four million, nine hundred thirty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 2480 3100 4960 5441 6200 10882 12400 21764 24800 27205 43528 54410 87056 108820 136025 168671 174112 217640 272050 337342 435280 544100 674684 843355 870560 1088200 1349368 1686710 2176400 2698736 3373420 4216775 4352800 5397472 6746840 8433550 13493680 16867100 26987360 33734200 67468400 134936800