Search a number
-
+
132153303042360 = 2332531479191312923
BaseRepresentation
bin11110000011000101010110…
…101011110000100100111000
3122022220201202220120120220200
4132003011112223300210320
5114310144431034323420
61145022220031122200
736556522021444065
oct3603052653604470
9568821686516820
10132153303042360
11391209a0379836
12129a4241973360
1358980067a4a32
14248c37ad6bc6c
151042926109b90
hex783156af0938

132153303042360 has 384 divisors, whose sum is σ = 444545235763200. Its totient is φ = 34012457256960.

The previous prime is 132153303042359. The next prime is 132153303042361. The reversal of 132153303042360 is 63240303351231.

132153303042360 is a `hidden beast` number, since 1 + 3 + 2 + 15 + 330 + 304 + 2 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132153303042359) and next prime (132153303042361).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132153303042361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10226202859 + ... + 10226215781.

It is an arithmetic number, because the mean of its divisors is an integer number (1157669884800).

Almost surely, 2132153303042360 is an apocalyptic number.

132153303042360 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 132153303042360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222272617881600).

132153303042360 is an abundant number, since it is smaller than the sum of its proper divisors (312391932720840).

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

132153303042360 is a wasteful number, since it uses less digits than its factorization.

132153303042360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15363 (or 15356 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 132153303042360 its reverse (63240303351231), we get a palindrome (195393606393591).

The spelling of 132153303042360 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, three hundred three million, forty-two thousand, three hundred sixty".