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145347136 = 261121372
BaseRepresentation
bin10001010100111…
…01001001000000
3101010111101210021
420222131021000
5244202102021
622231143224
73413300404
oct1052351100
9333441707
10145347136
1175054500
1240814b14
132416012c
1415437104
15cb60c41
hex8a9d240

145347136 has 63 divisors (see below), whose sum is σ = 319358137. Its totient is φ = 65584640.

The previous prime is 145347113. The next prime is 145347151. The reversal of 145347136 is 631743541.

The square root of 145347136 is 12056.

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

It can be written as a sum of positive squares in only one way, i.e., 85377600 + 59969536 = 9240^2 + 7744^2 .

It is a super-2 number, since 2×1453471362 = 42251579886804992, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1060860 + ... + 1060996.

Almost surely, 2145347136 is an apocalyptic number.

145347136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145347136 is the 12056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145347136

145347136 is an abundant number, since it is smaller than the sum of its proper divisors (174011001).

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

145347136 is an equidigital number, since it uses as much as digits as its factorization.

145347136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 150 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The cubic root of 145347136 is about 525.7776966900. Note that the first 3 decimals are identical.

The spelling of 145347136 in words is "one hundred forty-five million, three hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 137 176 242 274 352 484 548 704 968 1096 1507 1936 2192 3014 3872 4384 6028 7744 8768 12056 16577 18769 24112 33154 37538 48224 66308 75076 96448 132616 150152 206459 265232 300304 412918 530464 600608 825836 1060928 1201216 1651672 2271049 3303344 4542098 6606688 9084196 13213376 18168392 36336784 72673568 145347136