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135044929188 = 223413172195839
BaseRepresentation
bin111110111000101001…
…1100001011010100100
3110220120111212012110000
41331301103201122210
54203033000213223
6142012213301300
712520352646501
oct1756123413244
9426514765400
10135044929188
11522aa3840a4
122220a334830
13c972134730
1467715044a8
1537a5be2543
hex1f714e16a4

135044929188 has 360 divisors, whose sum is σ = 425199420800. Its totient is φ = 37043371008.

The previous prime is 135044929183. The next prime is 135044929193. The reversal of 135044929188 is 881929440531.

It is a happy number.

135044929188 is a `hidden beast` number, since 1 + 3 + 504 + 49 + 2 + 91 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (135044929183) and next prime (135044929193).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135044929181) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 23125173 + ... + 23131011.

Almost surely, 2135044929188 is an apocalyptic number.

135044929188 is a gapful number since it is divisible by the number (18) 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 135044929188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212599710400).

135044929188 is an abundant number, since it is smaller than the sum of its proper divisors (290154491612).

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

135044929188 is a wasteful number, since it uses less digits than its factorization.

135044929188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 135044929188 in words is "one hundred thirty-five billion, forty-four million, nine hundred twenty-nine thousand, one hundred eighty-eight".