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148853152 = 2572772399
BaseRepresentation
bin10001101111101…
…01000110100000
3101101002112010201
420313311012200
5301101300102
622434234544
73455142130
oct1067650640
9341075121
10148853152
1177029638
1241a25a54
1324ab9bb6
1415aaaac0
15d104987
hex8df51a0

148853152 has 48 divisors (see below), whose sum is σ = 336268800. Its totient is φ = 63537408.

The previous prime is 148853149. The next prime is 148853153. The reversal of 148853152 is 251358841.

It is not an unprimeable number, because it can be changed into a prime (148853153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60849 + ... + 63247.

It is an arithmetic number, because the mean of its divisors is an integer number (7005600).

Almost surely, 2148853152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148853152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168134400).

148853152 is an abundant number, since it is smaller than the sum of its proper divisors (187415648).

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

148853152 is a wasteful number, since it uses less digits than its factorization.

148853152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2685 counting only the distinct ones).

The product of its digits is 38400, while the sum is 37.

The square root of 148853152 is about 12200.5390044866. The cubic root of 148853152 is about 529.9716989753.

The spelling of 148853152 in words is "one hundred forty-eight million, eight hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 277 554 1108 1939 2216 2399 3878 4432 4798 7756 8864 9596 15512 16793 19192 31024 33586 38384 62048 67172 76768 134344 268688 537376 664523 1329046 2658092 4651661 5316184 9303322 10632368 18606644 21264736 37213288 74426576 148853152