Search a number
-
+
135551225352000 = 2635330718799791
BaseRepresentation
bin11110110100100001111010…
…101000101100111101000000
3122202221120101221212121222210
4132310201322220230331000
5120231332402142231000
61200143212342502120
740360152504513663
oct3664417250547500
9582846357777883
10135551225352000
113a210a51997337
121325289b134940
135a8356c366893
142568a001076da
1510a0ee9b3a350
hex7b487aa2cf40

135551225352000 has 448 divisors, whose sum is σ = 449332964720640. Its totient is φ = 36006398208000.

The previous prime is 135551225351999. The next prime is 135551225352001. The reversal of 135551225352000 is 253522155531.

It is an interprime number because it is at equal distance from previous prime (135551225351999) and next prime (135551225352001).

It is a self number, because there is not a number n which added to its sum of digits gives 135551225352000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135551225352001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13844467105 + ... + 13844476895.

It is an arithmetic number, because the mean of its divisors is an integer number (1002975367680).

Almost surely, 2135551225352000 is an apocalyptic number.

135551225352000 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 135551225352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224666482360320).

135551225352000 is an abundant number, since it is smaller than the sum of its proper divisors (313781739368640).

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

135551225352000 is a wasteful number, since it uses less digits than its factorization.

135551225352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12007 (or 11987 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 39.

The spelling of 135551225352000 in words is "one hundred thirty-five trillion, five hundred fifty-one billion, two hundred twenty-five million, three hundred fifty-two thousand".