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135308099160 = 23345132614051
BaseRepresentation
bin111111000000011111…
…1011011111001011000
3110221020212001121210000
41332000333123321120
54204102333133120
6142054254053000
712530026603053
oct1760077337130
9427225047700
10135308099160
1152424992643
12222824aa160
13c9b4808800
14679844ba9a
1537bdd78990
hex1f80fdbe58

135308099160 has 480 divisors, whose sum is σ = 500656772880. Its totient is φ = 32752512000.

The previous prime is 135308099137. The next prime is 135308099197. The reversal of 135308099160 is 61990803531.

135308099160 is a `hidden beast` number, since 13 + 530 + 8 + 0 + 99 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33399135 + ... + 33403185.

Almost surely, 2135308099160 is an apocalyptic number.

135308099160 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 135308099160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250328386440).

135308099160 is an abundant number, since it is smaller than the sum of its proper divisors (365348673720).

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

135308099160 is a wasteful number, since it uses less digits than its factorization.

135308099160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 135308099160 in words is "one hundred thirty-five billion, three hundred eight million, ninety-nine thousand, one hundred sixty".