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145737328 = 24111767727
BaseRepresentation
bin10001010111111…
…00011001110000
3101011020020000211
420223330121300
5244302043303
622243353504
73416514112
oct1053743160
9334206024
10145737328
11752a0680
1240982894
1324268909
14154d93b2
15cbdb66d
hex8afc670

145737328 has 80 divisors (see below), whose sum is σ = 331478784. Its totient is φ = 61332480.

The previous prime is 145737301. The next prime is 145737331. The reversal of 145737328 is 823737541.

It is a happy number.

145737328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 200101 + ... + 200827.

Almost surely, 2145737328 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 145737328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165739392).

145737328 is an abundant number, since it is smaller than the sum of its proper divisors (185741456).

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

145737328 is a wasteful number, since it uses less digits than its factorization.

145737328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its digits is 141120, while the sum is 40.

The square root of 145737328 is about 12072.1716356255. The cubic root of 145737328 is about 526.2477688852.

The spelling of 145737328 in words is "one hundred forty-five million, seven hundred thirty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 67 68 88 134 136 176 187 268 272 374 536 727 737 748 1072 1139 1454 1474 1496 2278 2908 2948 2992 4556 5816 5896 7997 9112 11632 11792 12359 12529 15994 18224 24718 25058 31988 48709 49436 50116 63976 97418 98872 100232 127952 135949 194836 197744 200464 271898 389672 535799 543796 779344 828053 1071598 1087592 1656106 2143196 2175184 3312212 4286392 6624424 8572784 9108583 13248848 18217166 36434332 72868664 145737328