Search a number
-
+
132139935360 = 27335193112983
BaseRepresentation
bin111101100010000100…
…1110110011010000000
3110122002001121020002000
41323010021312122000
54131110310412420
6140412041224000
712355356626646
oct1730411663200
9418061536060
10132139935360
1151049604254
1221739492000
13c5cb335984
14657778d196
153685b68690
hex1ec4276680

132139935360 has 512 divisors, whose sum is σ = 508557312000. Its totient is φ = 32303370240.

The previous prime is 132139935269. The next prime is 132139935371. The reversal of 132139935360 is 63539931231.

132139935360 is a `hidden beast` number, since 1 + 3 + 21 + 3 + 9 + 93 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10171429 + ... + 10184411.

It is an arithmetic number, because the mean of its divisors is an integer number (993276000).

Almost surely, 2132139935360 is an apocalyptic number.

132139935360 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 132139935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254278656000).

132139935360 is an abundant number, since it is smaller than the sum of its proper divisors (376417376640).

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

132139935360 is a wasteful number, since it uses less digits than its factorization.

132139935360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13061 (or 13043 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 132139935360 in words is "one hundred thirty-two billion, one hundred thirty-nine million, nine hundred thirty-five thousand, three hundred sixty".