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135440502000 = 2435322573417
BaseRepresentation
bin111111000100011100…
…0100000110011110000
3110221121002012101022220
41332020320200303300
54204340232031000
6142115344001040
712533225162136
oct1761070406360
9427532171286
10135440502000
11524926a5881
12222ba900180
13ca06085b9b
1467abc75756
1537ca7ce1a0
hex1f88e20cf0

135440502000 has 80 divisors (see below), whose sum is σ = 436660197792. Its totient is φ = 36117465600.

The previous prime is 135440501993. The next prime is 135440502007. The reversal of 135440502000 is 205044531.

It is an interprime number because it is at equal distance from previous prime (135440501993) and next prime (135440502007).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135440502007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11280709 + ... + 11292708.

Almost surely, 2135440502000 is an apocalyptic number.

135440502000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135440502000 is an abundant number, since it is smaller than the sum of its proper divisors (301219695792).

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

135440502000 is a wasteful number, since it uses less digits than its factorization.

135440502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22573443 (or 22573427 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 135440502000 its reverse (205044531), we get a palindrome (135645546531).

The spelling of 135440502000 in words is "one hundred thirty-five billion, four hundred forty million, five hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 22573417 45146834 67720251 90293668 112867085 135440502 180587336 225734170 270881004 338601255 361174672 451468340 541762008 564335425 677202510 902936680 1083524016 1128670850 1354405020 1693006275 1805873360 2257341700 2708810040 2821677125 3386012550 4514683400 5417620080 5643354250 6772025100 8465031375 9029366800 11286708500 13544050200 16930062750 22573417000 27088100400 33860125500 45146834000 67720251000 135440502000