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146132856 = 23332941569
BaseRepresentation
bin10001011010111…
…00111101111000
3101011222022121000
420231130331320
5244402222411
622300045000
73423052212
oct1055347570
9334868530
10146132856
1175540861
1240b33760
132437695c
141559d5b2
15cc68956
hex8b5cf78

146132856 has 128 divisors (see below), whose sum is σ = 430920000. Its totient is φ = 45803520.

The previous prime is 146132809. The next prime is 146132891. The reversal of 146132856 is 658231641.

It is a happy number.

146132856 is a `hidden beast` number, since 14 + 613 + 28 + 5 + 6 = 666.

146132856 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 146132856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256540 + ... + 257108.

Almost surely, 2146132856 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 146132856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215460000).

146132856 is an abundant number, since it is smaller than the sum of its proper divisors (284787144).

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

146132856 is a wasteful number, since it uses less digits than its factorization.

146132856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 146132856 is about 12088.5423438891. The cubic root of 146132856 is about 526.7234139213.

The spelling of 146132856 in words is "one hundred forty-six million, one hundred thirty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 41 54 58 72 82 87 108 116 123 164 174 216 232 246 261 328 348 369 492 522 569 696 738 783 984 1044 1107 1138 1189 1476 1566 1707 2088 2214 2276 2378 2952 3132 3414 3567 4428 4552 4756 5121 6264 6828 7134 8856 9512 10242 10701 13656 14268 15363 16501 20484 21402 23329 28536 30726 32103 33002 40968 42804 46658 49503 61452 64206 66004 69987 85608 93316 99006 122904 128412 132008 139974 148509 186632 198012 209961 256824 279948 297018 396024 419922 445527 559896 594036 629883 676541 839844 891054 1188072 1259766 1353082 1679688 1782108 2029623 2519532 2706164 3564216 4059246 5039064 5412328 6088869 8118492 12177738 16236984 18266607 24355476 36533214 48710952 73066428 146132856