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149143135680 = 2636571119223
BaseRepresentation
bin1000101011100110011…
…1111010010111000000
3112020222001010022000000
42022321213322113000
54420421120320210
6152303155000000
713526622510360
oct2127147722700
9466861108000
10149143135680
1158284459320
1224aa3899000
13110aaba9956
14730ba629a0
153d2d773ac0
hex22b99fa5c0

149143135680 has 2352 divisors, whose sum is σ = 731109763584. Its totient is φ = 28083179520.

The previous prime is 149143135649. The next prime is 149143135681. The reversal of 149143135680 is 86531341941.

149143135680 is a `hidden beast` number, since 1 + 4 + 91 + 431 + 3 + 56 + 80 = 666.

149143135680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149143135681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 6484484149 + ... + 6484484171.

Almost surely, 2149143135680 is an apocalyptic number.

149143135680 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 149143135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365554881792).

149143135680 is an abundant number, since it is smaller than the sum of its proper divisors (581966627904).

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

149143135680 is a wasteful number, since it uses less digits than its factorization.

149143135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 149143135680 in words is "one hundred forty-nine billion, one hundred forty-three million, one hundred thirty-five thousand, six hundred eighty".