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132060119040 = 21535531107
BaseRepresentation
bin111101011111101100…
…1011000000000000000
3110121212111102010200000
41322333121120000000
54130424342302130
6140400110400000
712353400330213
oct1727731300000
9417774363600
10132060119040
1151008549053
1221716800000
13c5b793b095
14656ad3377a
15367db4e260
hex1ebf658000

132060119040 has 768 divisors, whose sum is σ = 494651888640. Its totient is φ = 33761525760.

The previous prime is 132060119029. The next prime is 132060119129. The reversal of 132060119040 is 40911060231.

132060119040 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 601 + 19 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132060118995 and 132060119013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1234206667 + ... + 1234206773.

It is an arithmetic number, because the mean of its divisors is an integer number (644077980).

Almost surely, 2132060119040 is an apocalyptic number.

132060119040 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 132060119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247325944320).

132060119040 is an abundant number, since it is smaller than the sum of its proper divisors (362591769600).

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

132060119040 is an frugal number, since it uses more digits than its factorization.

132060119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 132060119040 its reverse (40911060231), we get a palindrome (172971179271).

The spelling of 132060119040 in words is "one hundred thirty-two billion, sixty million, one hundred nineteen thousand, forty".