Search a number
-
+
133539840 = 211345723
BaseRepresentation
bin1111111010110…
…10100000000000
3100022021112020000
413331122200000
5233141233330
621130120000
73211032660
oct775324000
9308245200
10133539840
116941a505
1238880000
1321887a75
1413a421a0
15bacc560
hex7f5a800

133539840 has 480 divisors, whose sum is σ = 570810240. Its totient is φ = 29196288.

The previous prime is 133539839. The next prime is 133539841. The reversal of 133539840 is 48935331.

It is an interprime number because it is at equal distance from previous prime (133539839) and next prime (133539841).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 133539795 and 133539804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133539841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5806069 + ... + 5806091.

It is an arithmetic number, because the mean of its divisors is an integer number (1189188).

Almost surely, 2133539840 is an apocalyptic number.

133539840 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 133539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285405120).

133539840 is an abundant number, since it is smaller than the sum of its proper divisors (437270400).

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

133539840 is an equidigital number, since it uses as much as digits as its factorization.

133539840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 133539840 is about 11555.9439250976. The cubic root of 133539840 is about 511.1365655600.

The spelling of 133539840 in words is "one hundred thirty-three million, five hundred thirty-nine thousand, eight hundred forty".