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146144900 = 225211132859
BaseRepresentation
bin10001011010111…
…11111010000100
3101011222221010002
420231133322010
5244403114100
622300220432
73423132266
oct1055377204
9334887102
10146144900
1175549910
1240b3a718
132437c295
14155a3b36
15cc6c2d5
hex8b5fe84

146144900 has 36 divisors (see below), whose sum is σ = 345967440. Its totient is φ = 53143200.

The previous prime is 146144899. The next prime is 146144963. The reversal of 146144900 is 9441641.

It is a happy number.

146144900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65330 + ... + 67529.

Almost surely, 2146144900 is an apocalyptic number.

146144900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146144900 is an abundant number, since it is smaller than the sum of its proper divisors (199822540).

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

146144900 is a wasteful number, since it uses less digits than its factorization.

146144900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132884 (or 132877 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 146144900 is about 12089.0404912880. The cubic root of 146144900 is about 526.7378840474.

The spelling of 146144900 in words is "one hundred forty-six million, one hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 132859 265718 531436 664295 1328590 1461449 2657180 2922898 3321475 5845796 6642950 7307245 13285900 14614490 29228980 36536225 73072450 146144900