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134564220432 = 24382515107
BaseRepresentation
bin111110101010010100…
…1110000111000010000
3110212100000022200000000
41331110221300320100
54201041420023212
6141452402130000
712502425000315
oct1752451607020
9425300280000
10134564220432
1152082aa3534
12220b5350900
13c8c6675295
146727730d0c
1537788da1dc
hex1f54a70e10

134564220432 has 180 divisors, whose sum is σ = 392692272336. Its totient is φ = 44667288000.

The previous prime is 134564220431. The next prime is 134564220449. The reversal of 134564220432 is 234022465431.

134564220432 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 642 + 2 + 0 + 4 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (134564220431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26346423 + ... + 26351529.

Almost surely, 2134564220432 is an apocalyptic number.

134564220432 is a gapful number since it is divisible by the number (12) 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 134564220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196346136168).

134564220432 is an abundant number, since it is smaller than the sum of its proper divisors (258128051904).

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

134564220432 is an frugal number, since it uses more digits than its factorization.

134564220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 134564220432 its reverse (234022465431), we get a palindrome (368586685863).

The spelling of 134564220432 in words is "one hundred thirty-four billion, five hundred sixty-four million, two hundred twenty thousand, four hundred thirty-two".