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135015232120 = 23589293129439
BaseRepresentation
bin111110110111110001…
…0001111001001111000
3110220111102222102201121
41331233202033021320
54203002344411440
6142005232555024
712516542352226
oct1755742171170
9426442872647
10135015232120
115229464026a
12222003b2a74
13c968c375c2
14676b5b3b16
1537a32c834a
hex1f6f88f278

135015232120 has 64 divisors (see below), whose sum is σ = 308248416000. Its totient is φ = 53216621568.

The previous prime is 135015232103. The next prime is 135015232123. The reversal of 135015232120 is 21232510531.

It is a super-2 number, since 2×1350152321202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135015232123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 978361 + ... + 1107799.

It is an arithmetic number, because the mean of its divisors is an integer number (4816381500).

Almost surely, 2135015232120 is an apocalyptic number.

135015232120 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 135015232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154124208000).

135015232120 is an abundant number, since it is smaller than the sum of its proper divisors (173233183880).

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

135015232120 is a wasteful number, since it uses less digits than its factorization.

135015232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129832 (or 129828 counting only the distinct ones).

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

Adding to 135015232120 its reverse (21232510531), we get a palindrome (156247742651).

The spelling of 135015232120 in words is "one hundred thirty-five billion, fifteen million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 293 356 445 586 712 890 1172 1465 1780 2344 2930 3560 5860 11720 26077 52154 104308 129439 130385 208616 258878 260770 517756 521540 647195 1035512 1043080 1294390 2588780 5177560 11520071 23040142 37925627 46080284 57600355 75851254 92160568 115200710 151702508 189628135 230401420 303405016 379256270 460802840 758512540 1517025080 3375380803 6750761606 13501523212 16876904015 27003046424 33753808030 67507616060 135015232120