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135132000000 = 2835611261
BaseRepresentation
bin111110111011001111…
…1101010111100000000
3110220210120200212010220
41331312133222330000
54203222243000000
6142025003423040
712522461022324
oct1756637527400
9426716625126
10135132000000
1152344544748
1222233524a80
13c98719c31a
14677cccb984
1537ad6911a0
hex1f767eaf00

135132000000 has 252 divisors, whose sum is σ = 449594401368. Its totient is φ = 36032000000.

The previous prime is 135131999953. The next prime is 135132000001. The reversal of 135132000000 is 231531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135132000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11994370 + ... + 12005630.

Almost surely, 2135132000000 is an apocalyptic number.

135132000000 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 135132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224797200684).

135132000000 is an abundant number, since it is smaller than the sum of its proper divisors (314462401368).

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

135132000000 is an frugal number, since it uses more digits than its factorization.

135132000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11310 (or 11271 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 135132000000 its reverse (231531), we get a palindrome (135132231531).

The spelling of 135132000000 in words is "one hundred thirty-five billion, one hundred thirty-two million", and thus it is an aban number.