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135207406500 = 22353491183581
BaseRepresentation
bin111110111101011111…
…1010100101110100100
3110220222211120220102020
41331322333110232210
54203401044002000
6142040255543140
712524364664335
oct1757277245644
9426884526366
10135207406500
1152383068771
122225482aab0
13c9999b195a
146788d1a28c
1537b50d8ba0
hex1f7afd4ba4

135207406500 has 96 divisors (see below), whose sum is σ = 394527998592. Its totient is φ = 35981680000.

The previous prime is 135207406487. The next prime is 135207406511. The reversal of 135207406500 is 5604702531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644710 + ... + 828290.

It is an arithmetic number, because the mean of its divisors is an integer number (4109666652).

Almost surely, 2135207406500 is an apocalyptic number.

135207406500 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 135207406500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197263999296).

135207406500 is an abundant number, since it is smaller than the sum of its proper divisors (259320592092).

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

135207406500 is a wasteful number, since it uses less digits than its factorization.

135207406500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184094 (or 184082 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 135207406500 in words is "one hundred thirty-five billion, two hundred seven million, four hundred six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 491 500 750 982 1473 1500 1964 2455 2946 4910 5892 7365 9820 12275 14730 24550 29460 36825 49100 61375 73650 122750 147300 183581 184125 245500 367162 368250 550743 734324 736500 917905 1101486 1835810 2202972 2753715 3671620 4589525 5507430 9179050 11014860 13768575 18358100 22947625 27537150 45895250 55074300 68842875 90138271 91790500 137685750 180276542 270414813 275371500 360553084 450691355 540829626 901382710 1081659252 1352074065 1802765420 2253456775 2704148130 4506913550 5408296260 6760370325 9013827100 11267283875 13520740650 22534567750 27041481300 33801851625 45069135500 67603703250 135207406500