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145784136 = 23389131521
BaseRepresentation
bin10001011000001…
…11110101001000
3101011022121020110
420230013311020
5244310043021
622244354320
73420100431
oct1054076510
9334277213
10145784136
1175322863
12409a59a0
1324284004
141550c488
15cbea476
hex8b07d48

145784136 has 64 divisors (see below), whose sum is σ = 372081600. Its totient is φ = 47590400.

The previous prime is 145784123. The next prime is 145784141. The reversal of 145784136 is 631487541.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 145784094 and 145784103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279556 + ... + 280076.

It is an arithmetic number, because the mean of its divisors is an integer number (5813775).

Almost surely, 2145784136 is an apocalyptic number.

It is an amenable number.

145784136 is an abundant number, since it is smaller than the sum of its proper divisors (226297464).

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

145784136 is a wasteful number, since it uses less digits than its factorization.

145784136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 746 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 145784136 is about 12074.1101535475. The cubic root of 145784136 is about 526.3041030430.

The spelling of 145784136 in words is "one hundred forty-five million, seven hundred eighty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 89 131 178 262 267 356 393 521 524 534 712 786 1042 1048 1068 1563 1572 2084 2136 3126 3144 4168 6252 11659 12504 23318 34977 46369 46636 68251 69954 92738 93272 136502 139107 139908 185476 204753 273004 278214 279816 370952 409506 546008 556428 819012 1112856 1638024 6074339 12148678 18223017 24297356 36446034 48594712 72892068 145784136