Search a number
-
+
134145421525000 = 2355139151255649
BaseRepresentation
bin11110100000000100101010…
…001100101100000000001000
3122120222011210001221212121101
4132200010222030230000020
5120040314310402300000
61153145320023551144
740153454412243334
oct3640045214540010
9576864701855541
10134145421525000
1139819832317a06
12130663462bb4b4
1359b0b2220b362
14251a95cb967c4
15107966c1e2e6a
hex7a012a32c008

134145421525000 has 192 divisors, whose sum is σ = 318743192880000. Its totient is φ = 52919136000000.

The previous prime is 134145421524991. The next prime is 134145421525009. The reversal of 134145421525000 is 525124541431.

It is an interprime number because it is at equal distance from previous prime (134145421524991) and next prime (134145421525009).

It is a super-2 number, since 2×1341454215250002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134145421525009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524597176 + ... + 524852824.

It is an arithmetic number, because the mean of its divisors is an integer number (1660120796250).

Almost surely, 2134145421525000 is an apocalyptic number.

134145421525000 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 134145421525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159371596440000).

134145421525000 is an abundant number, since it is smaller than the sum of its proper divisors (184597771355000).

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

134145421525000 is a wasteful number, since it uses less digits than its factorization.

134145421525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255970 (or 255946 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 134145421525000 in words is "one hundred thirty-four trillion, one hundred forty-five billion, four hundred twenty-one million, five hundred twenty-five thousand".