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135253319040 = 2732574181817
BaseRepresentation
bin111110111110110111…
…0011101110110000000
3110221010000222111120200
41331331232131312000
54203444322202130
6142045020005200
712525463146210
oct1757556356600
9427100874520
10135253319040
11523a6a77514
1222268090800
13c9a6368738
14679106c240
1537b9157760
hex1f7db9dd80

135253319040 has 384 divisors, whose sum is σ = 546792966720. Its totient is φ = 30160650240.

The previous prime is 135253319039. The next prime is 135253319053. The reversal of 135253319040 is 40913352531.

135253319040 is a `hidden beast` number, since 1 + 3 + 525 + 3 + 3 + 1 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1352533190402 (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 junction number, because it is equal to n+sod(n) for n = 135253318986 and 135253319004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1612212 + ... + 1694028.

Almost surely, 2135253319040 is an apocalyptic number.

135253319040 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 135253319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273396483360).

135253319040 is an abundant number, since it is smaller than the sum of its proper divisors (411539647680).

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

135253319040 is a wasteful number, since it uses less digits than its factorization.

135253319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81890 (or 81875 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 135253319040 in words is "one hundred thirty-five billion, two hundred fifty-three million, three hundred nineteen thousand, forty".