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146485136 = 2471923623
BaseRepresentation
bin10001011101100…
…10111110010000
3101012122012211102
420232302332100
5300000011021
622311403532
73426050240
oct1056627620
9335565742
10146485136
11757614a6
12410835a8
132446b0c5
1415651b20
15ccd800b
hex8bb2f90

146485136 has 60 divisors (see below), whose sum is σ = 342424512. Its totient is φ = 59458752.

The previous prime is 146485121. The next prime is 146485139. The reversal of 146485136 is 631584641.

146485136 is digitally balanced in base 2, 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 (38).

It is a self number, because there is not a number n which added to its sum of digits gives 146485136.

It is not an unprimeable number, because it can be changed into a prime (146485139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38621 + ... + 42243.

Almost surely, 2146485136 is an apocalyptic number.

146485136 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 146485136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171212256).

146485136 is an abundant number, since it is smaller than the sum of its proper divisors (195939376).

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

146485136 is a wasteful number, since it uses less digits than its factorization.

146485136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3651 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 146485136 is about 12103.1043951542. The cubic root of 146485136 is about 527.1463286686.

The spelling of 146485136 in words is "one hundred forty-six million, four hundred eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 361 532 722 1064 1444 2128 2527 2888 3623 5054 5776 7246 10108 14492 20216 25361 28984 40432 50722 57968 68837 101444 137674 202888 275348 405776 481859 550696 963718 1101392 1307903 1927436 2615806 3854872 5231612 7709744 9155321 10463224 18310642 20926448 36621284 73242568 146485136