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135421321320 = 233253189136343
BaseRepresentation
bin111111000011110111…
…1010110000001101000
3110221112202002220101100
41332013233112001220
54204320324240240
6142113420521400
712532603144605
oct1760757260150
9427482086340
10135421321320
115248289507a
12222b43b0260
13ca020cb67c
1467a94c16ac
1537c8c90e30
hex1f87bd6068

135421321320 has 192 divisors, whose sum is σ = 459424742400. Its totient is φ = 34554516480.

The previous prime is 135421321319. The next prime is 135421321327. The reversal of 135421321320 is 23123124531.

135421321320 is a `hidden beast` number, since 1 + 3 + 5 + 421 + 3 + 213 + 20 = 666.

135421321320 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (135421321327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925069 + ... + 1061411.

It is an arithmetic number, because the mean of its divisors is an integer number (2392837200).

Almost surely, 2135421321320 is an apocalyptic number.

135421321320 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 135421321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229712371200).

135421321320 is an abundant number, since it is smaller than the sum of its proper divisors (324003421080).

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

135421321320 is a wasteful number, since it uses less digits than its factorization.

135421321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136480 (or 136473 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 135421321320 its reverse (23123124531), we get a palindrome (158544445851).

The spelling of 135421321320 in words is "one hundred thirty-five billion, four hundred twenty-one million, three hundred twenty-one thousand, three hundred twenty".