Search a number
-
+
134373103200 = 2534527296237
BaseRepresentation
bin111110100100101000…
…0101101011001100000
3110211211200200220110000
41331021100231121200
54200144003300300
6141421413540000
712464614350240
oct1751120553140
9424750626400
10134373103200
1151a95128306
1222061344600
13c895bab16b
14670a1c1b20
153766c37c00
hex1f4942d660

134373103200 has 360 divisors, whose sum is σ = 560039123952. Its totient is φ = 30713748480.

The previous prime is 134373103199. The next prime is 134373103231. The reversal of 134373103200 is 2301373431.

134373103200 is a `hidden beast` number, since 1 + 343 + 7 + 310 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1343731032002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 305482 + ... + 601718.

Almost surely, 2134373103200 is an apocalyptic number.

134373103200 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 134373103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280019561976).

134373103200 is an abundant number, since it is smaller than the sum of its proper divisors (425666020752).

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

134373103200 is a wasteful number, since it uses less digits than its factorization.

134373103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296276 (or 296254 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

Adding to 134373103200 its reverse (2301373431), we get a palindrome (136674476631).

The spelling of 134373103200 in words is "one hundred thirty-four billion, three hundred seventy-three million, one hundred three thousand, two hundred".