Search a number
-
+
148133376 = 2932173161
BaseRepresentation
bin10001101010001…
…01011000000000
3101022201221210100
420311011120000
5300410232001
622411002400
73446053506
oct1065053000
9338657710
10148133376
1176687886
1241739400
13248c73b1
1415960676
15d011586
hex8d45600

148133376 has 240 divisors, whose sum is σ = 474933888. Its totient is φ = 44236800.

The previous prime is 148133353. The next prime is 148133387. The reversal of 148133376 is 673331841.

148133376 is digitally balanced in base 3, 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 148133376.

It is a congruent number.

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, 2428386 + ... + 2428446.

Almost surely, 2148133376 is an apocalyptic number.

148133376 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 148133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237466944).

148133376 is an abundant number, since it is smaller than the sum of its proper divisors (326800512).

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

148133376 is a wasteful number, since it uses less digits than its factorization.

148133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 148133376 is about 12171.0055459687. The cubic root of 148133376 is about 529.1160964122.

The spelling of 148133376 in words is "one hundred forty-eight million, one hundred thirty-three thousand, three hundred seventy-six".