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149153664 = 2731135311
BaseRepresentation
bin10001110001111…
…10011110000000
3101101122210100210
420320332132000
5301140404124
622444514120
73460533222
oct1070763600
9341583323
10149153664
11772143a0
1241b4b940
1324b9390a
1415b48412
15d163a29
hex8e3e780

149153664 has 64 divisors (see below), whose sum is σ = 432218880. Its totient is φ = 45196800.

The previous prime is 149153663. The next prime is 149153671. The reversal of 149153664 is 466351941.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149153663) 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 7 ways as a sum of consecutive naturals, for example, 13432 + ... + 21879.

It is an arithmetic number, because the mean of its divisors is an integer number (6753420).

Almost surely, 2149153664 is an apocalyptic number.

It is an amenable number.

149153664 is an abundant number, since it is smaller than the sum of its proper divisors (283065216).

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

149153664 is a wasteful number, since it uses less digits than its factorization.

149153664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35339 (or 35327 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 149153664 is about 12212.8483164248. The cubic root of 149153664 is about 530.3281034748.

It can be divided in two parts, 1491 and 53664, that added together give a palindrome (55155).

The spelling of 149153664 in words is "one hundred forty-nine million, one hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 35311 70622 105933 141244 211866 282488 388421 423732 564976 776842 847464 1129952 1165263 1553684 1694928 2259904 2330526 3107368 3389856 4519808 4661052 6214736 6779712 9322104 12429472 13559424 18644208 24858944 37288416 49717888 74576832 149153664