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148146192 = 24331918049
BaseRepresentation
bin10001101010010…
…00100000010000
3101022202121101000
420311020200100
5300411134232
622411142000
73446136045
oct1065104020
9338677330
10148146192
1176696477
1241744900
132490018c
14159651cc
15d01527c
hex8d48810

148146192 has 80 divisors (see below), whose sum is σ = 447640000. Its totient is φ = 46780416.

The previous prime is 148146191. The next prime is 148146217. The reversal of 148146192 is 291641841.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (148146191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817 + ... + 17232.

It is an arithmetic number, because the mean of its divisors is an integer number (5595500).

Almost surely, 2148146192 is an apocalyptic number.

148146192 is a gapful number since it is divisible by the number (12) 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 148146192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223820000).

148146192 is an abundant number, since it is smaller than the sum of its proper divisors (299493808).

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

148146192 is a wasteful number, since it uses less digits than its factorization.

148146192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18085 (or 18073 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 148146192 is about 12171.5320317534. The cubic root of 148146192 is about 529.1313550854.

The spelling of 148146192 in words is "one hundred forty-eight million, one hundred forty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 18049 36098 54147 72196 108294 144392 162441 216588 288784 324882 342931 433176 487323 649764 685862 866352 974646 1028793 1299528 1371724 1949292 2057586 2599056 2743448 3086379 3898584 4115172 5486896 6172758 7797168 8230344 9259137 12345516 16460688 18518274 24691032 37036548 49382064 74073096 148146192