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136235225088 = 2123223413919
BaseRepresentation
bin111111011100001000…
…0001001000000000000
3111000122110121111110100
41332320100021000000
54213002204200323
6142330253402400
712562015210104
oct1767020110000
9430573544410
10136235225088
1152860262016
12224a0a99400
13cb0190bc31
146845629904
153825462943
hex1fb8409000

136235225088 has 312 divisors, whose sum is σ = 420752666880. Its totient is φ = 42367057920.

The previous prime is 136235225069. The next prime is 136235225099. The reversal of 136235225088 is 880522532631.

136235225088 is a `hidden beast` number, since 1 + 362 + 35 + 2 + 250 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34760793 + ... + 34764711.

It is an arithmetic number, because the mean of its divisors is an integer number (1348566240).

Almost surely, 2136235225088 is an apocalyptic number.

136235225088 is a gapful number since it is divisible by the number (18) 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 136235225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210376333440).

136235225088 is an abundant number, since it is smaller than the sum of its proper divisors (284517441792).

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

136235225088 is a wasteful number, since it uses less digits than its factorization.

136235225088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 136235225088 in words is "one hundred thirty-six billion, two hundred thirty-five million, two hundred twenty-five thousand, eighty-eight".