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132501443225240 = 235311671916075519
BaseRepresentation
bin11110001000001001100101…
…011101001010011010011000
3122101011000101101202021211002
4132020021211131022122120
5114331400423431201430
61145450153411324132
736623625166252025
oct3610114535123230
9571130341667732
10132501443225240
1139245601438a41
1212a3b8012b0648
1358c1aa8c6b64b
1424a11657d654c
15104b9eec3b845
hex78826574a698

132501443225240 has 256 divisors, whose sum is σ = 311778135244800. Its totient is φ = 50624091993600.

The previous prime is 132501443225219. The next prime is 132501443225267. The reversal of 132501443225240 is 42522344105231.

It is a junction number, because it is equal to n+sod(n) for n = 132501443225194 and 132501443225203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24008231201 + ... + 24008236719.

It is an arithmetic number, because the mean of its divisors is an integer number (1217883340800).

Almost surely, 2132501443225240 is an apocalyptic number.

132501443225240 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 132501443225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155889067622400).

132501443225240 is an abundant number, since it is smaller than the sum of its proper divisors (179276692019560).

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

132501443225240 is a wasteful number, since it uses less digits than its factorization.

132501443225240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 6522 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 132501443225240 in words is "one hundred thirty-two trillion, five hundred one billion, four hundred forty-three million, two hundred twenty-five thousand, two hundred forty".