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149338965136 = 2417256832
BaseRepresentation
bin1000101100010101001…
…0111100010010010000
3112021110200121110111211
42023011102330102100
54421321233341021
6152334432145504
713534521154624
oct2130522742220
9467420543454
10149338965136
1158374a52949
1224b39398294
131110c63387a
147329a7b184
153d40a573e1
hex22c54bc490

149338965136 has 45 divisors (see below), whose sum is σ = 307419780441. Its totient is φ = 70264793856.

The previous prime is 149338965121. The next prime is 149338965173. The reversal of 149338965136 is 631569833941.

It is a happy number.

The square root of 149338965136 is 386444.

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., 116267360400 + 33071604736 = 340980^2 + 181856^2 .

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, 26275351 + ... + 26281033.

Almost surely, 2149338965136 is an apocalyptic number.

149338965136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

149338965136 is the 386444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149338965136

149338965136 is an abundant number, since it is smaller than the sum of its proper divisors (158080815305).

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

149338965136 is an frugal number, since it uses more digits than its factorization.

149338965136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11408 (or 5702 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 58.

The spelling of 149338965136 in words is "one hundred forty-nine billion, three hundred thirty-eight million, nine hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 5683 11366 22732 45464 90928 96611 193222 386444 772888 1545776 1642387 3284774 6569548 13139096 26278192 32296489 64592978 129185956 258371912 516743824 549040313 1098080626 2196161252 4392322504 8784645008 9333685321 18667370642 37334741284 74669482568 149338965136