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128149056 = 2632737859
BaseRepresentation
bin1111010001101…
…10011001000000
322221010122110100
413220312121000
5230301232211
620414402400
73114151260
oct750663100
9287118410
10128149056
1166378312
1236b00400
132071b159
141303b7a0
15b3b5156
hex7a36640

128149056 has 168 divisors, whose sum is σ = 431637440. Its totient is φ = 35582976.

The previous prime is 128149037. The next prime is 128149061. The reversal of 128149056 is 650941821.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1281490562 = 32844361107382272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 128149056.

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, 148755 + ... + 149613.

Almost surely, 2128149056 is an apocalyptic number.

128149056 is a gapful number since it is divisible by the number (16) 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 128149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215818720).

128149056 is an abundant number, since it is smaller than the sum of its proper divisors (303488384).

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

128149056 is a wasteful number, since it uses less digits than its factorization.

128149056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 128149056 is about 11320.2939891153. The cubic root of 128149056 is about 504.1639678141.

The spelling of 128149056 in words is "one hundred twenty-eight million, one hundred forty-nine thousand, fifty-six".