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136150191360 = 283454330539
BaseRepresentation
bin111111011001100101…
…1110000110100000000
3111000102112121100010000
41332303023300310000
54212313422110420
6142314015040000
712556633350261
oct1766313606400
9430375540100
10136150191360
1152817262a07
1222478510000
13caba108611
146838212968
15381cc67690
hex1fb32f0d00

136150191360 has 360 divisors, whose sum is σ = 498516147360. Its totient is φ = 35461214208.

The previous prime is 136150191349. The next prime is 136150191361. The reversal of 136150191360 is 63191051631.

136150191360 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 501 + 91 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (136150191361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4442971 + ... + 4473509.

It is an arithmetic number, because the mean of its divisors is an integer number (1384767076).

Almost surely, 2136150191360 is an apocalyptic number.

136150191360 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 136150191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249258073680).

136150191360 is an abundant number, since it is smaller than the sum of its proper divisors (362365956000).

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

136150191360 is an equidigital number, since it uses as much as digits as its factorization.

136150191360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30615 (or 30592 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 136150191360 in words is "one hundred thirty-six billion, one hundred fifty million, one hundred ninety-one thousand, three hundred sixty".