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145735788 = 223112293461
BaseRepresentation
bin10001010111111…
…00000001101100
3101011020010220210
420223330001230
5244302021123
622243342420
73416506452
oct1053740154
9334203823
10145735788
117529a500
1240981a10
1324267cc3
14154d89d2
15cbdae93
hex8afc06c

145735788 has 72 divisors (see below), whose sum is σ = 386774640. Its totient is φ = 42627200.

The previous prime is 145735783. The next prime is 145735789. The reversal of 145735788 is 887537541.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (145735783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40378 + ... + 43838.

It is an arithmetic number, because the mean of its divisors is an integer number (5371870).

Almost surely, 2145735788 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 145735788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193387320).

145735788 is an abundant number, since it is smaller than the sum of its proper divisors (241038852).

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

145735788 is a wasteful number, since it uses less digits than its factorization.

145735788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3506 counting only the distinct ones).

The product of its digits is 940800, while the sum is 48.

The square root of 145735788 is about 12072.1078524009. The cubic root of 145735788 is about 526.2459152663.

The spelling of 145735788 in words is "one hundred forty-five million, seven hundred thirty-five thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 242 319 348 363 484 638 726 957 1276 1452 1914 3461 3509 3828 6922 7018 10383 10527 13844 14036 20766 21054 38071 41532 42108 76142 100369 114213 152284 200738 228426 301107 401476 418781 456852 602214 837562 1104059 1204428 1256343 1675124 2208118 2512686 3312177 4416236 5025372 6624354 12144649 13248708 24289298 36433947 48578596 72867894 145735788