Search a number
-
+
135525335000 = 23541131101787
BaseRepresentation
bin111111000110111110…
…0000111111111011000
3110221210222211100022212
41332031330013333120
54210023441210000
6142132014134252
712535305224516
oct1761574077730
9427728740285
10135525335000
11525265780a0
12223231b1388
13ca1a819023
1467b92394b6
1537d2e89c35
hex1f8df07fd8

135525335000 has 320 divisors, whose sum is σ = 361576258560. Its totient is φ = 47160000000.

The previous prime is 135525334991. The next prime is 135525335021. The reversal of 135525335000 is 533525531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 172204607 + ... + 172205393.

It is an arithmetic number, because the mean of its divisors is an integer number (1129925808).

Almost surely, 2135525335000 is an apocalyptic number.

135525335000 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 135525335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180788129280).

135525335000 is an abundant number, since it is smaller than the sum of its proper divisors (226050923560).

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

135525335000 is a wasteful number, since it uses less digits than its factorization.

135525335000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 32.

The spelling of 135525335000 in words is "one hundred thirty-five billion, five hundred twenty-five million, three hundred thirty-five thousand".