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132154010352 = 24357133112049
BaseRepresentation
bin111101100010011111…
…1100010101011110000
3110122010001002022100000
41323010333202223300
54131122411312402
6140413303030000
712355620360630
oct1730477425360
9418101068300
10132154010352
1151056547a81
122174213b300
13c601223280
1465795b46c0
153686ee8c1c
hex1ec4fe2af0

132154010352 has 480 divisors, whose sum is σ = 487324364800. Its totient is φ = 33726689280.

The previous prime is 132154010297. The next prime is 132154010431. The reversal of 132154010352 is 253010451231.

132154010352 is a `hidden beast` number, since 13 + 2 + 1 + 540 + 103 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10962024 + ... + 10974072.

Almost surely, 2132154010352 is an apocalyptic number.

132154010352 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 132154010352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243662182400).

132154010352 is an abundant number, since it is smaller than the sum of its proper divisors (355170354448).

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

132154010352 is a wasteful number, since it uses less digits than its factorization.

132154010352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12123 (or 12105 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 132154010352 its reverse (253010451231), we get a palindrome (385164461583).

The spelling of 132154010352 in words is "one hundred thirty-two billion, one hundred fifty-four million, ten thousand, three hundred fifty-two".