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132130301424000 = 27353111714720399
BaseRepresentation
bin11110000010101111111011…
…101011100011000110000000
3122022211112101212222022100120
4132002233323223203012000
5114304310324131032000
61145003453354420240
736555046021064205
oct3602577353430600
9568745355868316
10132130301424000
1139112167584490
121299b8a2731680
135895aac29a079
14248b1d817bcac
15104202baca6a0
hex782bfbae3180

132130301424000 has 512 divisors, whose sum is σ = 505938970368000. Its totient is φ = 30147375104000.

The previous prime is 132130301423993. The next prime is 132130301424019. The reversal of 132130301424000 is 424103031231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1615801 + ... + 16336199.

It is an arithmetic number, because the mean of its divisors is an integer number (988162051500).

Almost surely, 2132130301424000 is an apocalyptic number.

132130301424000 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 132130301424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252969485184000).

132130301424000 is an abundant number, since it is smaller than the sum of its proper divisors (373808668944000).

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

132130301424000 is a wasteful number, since it uses less digits than its factorization.

132130301424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14720459 (or 14720437 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132130301424000 its reverse (424103031231), we get a palindrome (132554404455231).

The spelling of 132130301424000 in words is "one hundred thirty-two trillion, one hundred thirty billion, three hundred one million, four hundred twenty-four thousand".