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135136028160 = 293357299631
BaseRepresentation
bin111110111011010111…
…1000010011000000000
3110220210212021111202000
41331312233002120000
54203224310400120
6142025230024000
712522540200250
oct1756657023000
9426725244660
10135136028160
1152346846101
1222234948000
13c987c7c953
14677d659960
1537adbd9990
hex1f76bc2600

135136028160 has 640 divisors, whose sum is σ = 567563673600. Its totient is φ = 29820026880.

The previous prime is 135136028143. The next prime is 135136028179. The reversal of 135136028160 is 61820631531.

135136028160 is a `hidden beast` number, since 1 + 3 + 513 + 6 + 0 + 2 + 81 + 60 = 666.

135136028160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1351360281602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14026545 + ... + 14036175.

It is an arithmetic number, because the mean of its divisors is an integer number (886818240).

Almost surely, 2135136028160 is an apocalyptic number.

135136028160 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 135136028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283781836800).

135136028160 is an abundant number, since it is smaller than the sum of its proper divisors (432427645440).

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

135136028160 is an equidigital number, since it uses as much as digits as its factorization.

135136028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9699 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 135136028160 its reverse (61820631531), we get a palindrome (196956659691).

The spelling of 135136028160 in words is "one hundred thirty-five billion, one hundred thirty-six million, twenty-eight thousand, one hundred sixty".