Search a number
-
+
135132001540 = 225103111758727
BaseRepresentation
bin111110111011001111…
…1101011010100000100
3110220210120200221020221
41331312133223110010
54203222243022130
6142025003434124
712522461026654
oct1756637532404
9426716627227
10135132001540
1152344545918
1222233525944
13c98719cc33
14677cccc364
1537ad69187a
hex1f767eb504

135132001540 has 48 divisors (see below), whose sum is σ = 286793724672. Its totient is φ = 53479184256.

The previous prime is 135132001483. The next prime is 135132001559. The reversal of 135132001540 is 45100231531.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2271657 + ... + 2330383.

It is an arithmetic number, because the mean of its divisors is an integer number (5974869264).

Almost surely, 2135132001540 is an apocalyptic number.

135132001540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135132001540 is an abundant number, since it is smaller than the sum of its proper divisors (151661723132).

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

135132001540 is a wasteful number, since it uses less digits than its factorization.

135132001540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59956 (or 59954 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 135132001540 in words is "one hundred thirty-five billion, one hundred thirty-two million, one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 103 206 412 515 1030 1117 2060 2234 4468 5585 11170 22340 58727 115051 117454 230102 234908 293635 460204 575255 587270 1150510 1174540 2301020 6048881 12097762 24195524 30244405 60488810 65598059 120977620 131196118 262392236 327990295 655980590 1311961180 6756600077 13513200154 27026400308 33783000385 67566000770 135132001540