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135721507216 = 2431229712
BaseRepresentation
bin111111001100110100…
…0011101100110010000
3110222022122221221000111
41332121220131212100
54210424201212331
6142203302531104
712543206530261
oct1763150354620
9428278857014
10135721507216
1152617286199
1222378a36a94
13ca4c362c69
1467d7302968
1537e52d9db1
hex1f99a1d990

135721507216 has 45 divisors (see below), whose sum is σ = 271808133579. Its totient is φ = 65649592800.

The previous prime is 135721507189. The next prime is 135721507253. The reversal of 135721507216 is 612705127531.

The square root of 135721507216 is 368404.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45680611 + ... + 45683581.

Almost surely, 2135721507216 is an apocalyptic number.

135721507216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135721507216 is the 368404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135721507216

135721507216 is an abundant number, since it is smaller than the sum of its proper divisors (136086626363).

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

135721507216 is an frugal number, since it uses more digits than its factorization.

135721507216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The spelling of 135721507216 in words is "one hundred thirty-five billion, seven hundred twenty-one million, five hundred seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 2971 3844 5942 7688 11884 15376 23768 47536 92101 184202 368404 736808 1473616 2855131 5710262 8826841 11420524 17653682 22841048 35307364 45682096 70614728 141229456 273632071 547264142 1094528284 2189056568 4378113136 8482594201 16965188402 33930376804 67860753608 135721507216