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148804128 = 25341117307
BaseRepresentation
bin10001101111010…
…01001000100000
3101101000000220000
420313221020200
5301043213003
622433220000
73454546164
oct1067511040
9341000800
10148804128
1176aa5820
1241a01600
1324aa07a5
1415a96ca4
15d0e51a3
hex8de9220

148804128 has 240 divisors, whose sum is σ = 507142944. Its totient is φ = 42301440.

The previous prime is 148804127. The next prime is 148804141. The reversal of 148804128 is 821408841.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 148804092 and 148804101.

It is not an unprimeable number, because it can be changed into a prime (148804127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 484551 + ... + 484857.

Almost surely, 2148804128 is an apocalyptic number.

148804128 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 148804128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253571472).

148804128 is an abundant number, since it is smaller than the sum of its proper divisors (358338816).

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

148804128 is a wasteful number, since it uses less digits than its factorization.

148804128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 148804128 is about 12198.5297474737. The cubic root of 148804128 is about 529.9135114596.

The spelling of 148804128 in words is "one hundred forty-eight million, eight hundred four thousand, one hundred twenty-eight".