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145540096 = 210132292
BaseRepresentation
bin10001010110011…
…00010000000000
3101010212012110221
420223030100000
5244224240341
622235232424
73415033102
oct1053142000
9333765427
10145540096
1175176479
12408a8714
13241c9c00
1415487572
15cb9ced1
hex8acc400

145540096 has 99 divisors (see below), whose sum is σ = 326277471. Its totient is φ = 64856064.

The previous prime is 145540051. The next prime is 145540097. The reversal of 145540096 is 690045541.

The square root of 145540096 is 12064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18662400 + 126877696 = 4320^2 + 11264^2 .

It is not an unprimeable number, because it can be changed into a prime (145540097) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5018610 + ... + 5018638.

Almost surely, 2145540096 is an apocalyptic number.

145540096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145540096 is the 12064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145540096

145540096 is an abundant number, since it is smaller than the sum of its proper divisors (180737375).

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

145540096 is an equidigital number, since it uses as much as digits as its factorization.

145540096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The cubic root of 145540096 is about 526.0102645137.

Subtracting 145540096 from its reverse (690045541), we obtain a palindrome (544505445).

The spelling of 145540096 in words is "one hundred forty-five million, five hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 169 208 232 256 338 377 416 464 512 676 754 832 841 928 1024 1352 1508 1664 1682 1856 2704 3016 3328 3364 3712 4901 5408 6032 6656 6728 7424 9802 10816 10933 12064 13312 13456 14848 19604 21632 21866 24128 26912 29696 39208 43264 43732 48256 53824 78416 86528 87464 96512 107648 142129 156832 173056 174928 193024 215296 284258 313664 349856 386048 430592 568516 627328 699712 861184 1137032 1254656 1399424 2274064 2509312 2798848 4548128 5018624 5597696 9096256 11195392 18192512 36385024 72770048 145540096