Search a number
-
+
145135512126 = 236111032853
BaseRepresentation
bin1000011100101011000…
…0000010101000111110
3111212121202001221000000
42013022300002220332
54334214142342001
6150401353415130
713325410332603
oct2071260025076
9455552057000
10145135512126
1156608238440
122416570a4a6
13108bc819277
14704b6c66aa
153b969e4a86
hex21cac02a3e

145135512126 has 168 divisors, whose sum is σ = 359990995896. Its totient is φ = 43502404320.

The previous prime is 145135512107. The next prime is 145135512127. The reversal of 145135512126 is 621215531541.

145135512126 is a `hidden beast` number, since 1 + 4 + 5 + 13 + 5 + 512 + 126 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145135512127) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 170146716 + ... + 170147568.

It is an arithmetic number, because the mean of its divisors is an integer number (2142803547).

Almost surely, 2145135512126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145135512126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179995497948).

145135512126 is an abundant number, since it is smaller than the sum of its proper divisors (214855483770).

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

145135512126 is an equidigital number, since it uses as much as digits as its factorization.

145135512126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 972 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 145135512126 in words is "one hundred forty-five billion, one hundred thirty-five million, five hundred twelve thousand, one hundred twenty-six".