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149139456 = 212353229
BaseRepresentation
bin10001110001110…
…11000000000000
3101101122001212120
420320323000000
5301134430311
622444324240
73460443624
oct1070730000
9341561776
10149139456
1177204754
1241b43680
1324b8a2cb
1415b43184
15d15e706
hex8e3b000

149139456 has 104 divisors (see below), whose sum is σ = 406928880. Its totient is φ = 48562176.

The previous prime is 149139451. The next prime is 149139457. The reversal of 149139456 is 654931941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149139451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651150 + ... + 651378.

Almost surely, 2149139456 is an apocalyptic number.

149139456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203464440).

149139456 is an abundant number, since it is smaller than the sum of its proper divisors (257789424).

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

149139456 is an equidigital number, since it uses as much as digits as its factorization.

149139456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 287 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 149139456 is about 12212.2666200833. The cubic root of 149139456 is about 530.3112637030.

The spelling of 149139456 in words is "one hundred forty-nine million, one hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 229 256 318 384 424 458 512 636 687 768 848 916 1024 1272 1374 1536 1696 1832 2048 2544 2748 3072 3392 3664 4096 5088 5496 6144 6784 7328 10176 10992 12137 12288 13568 14656 20352 21984 24274 27136 29312 36411 40704 43968 48548 54272 58624 72822 81408 87936 97096 108544 117248 145644 162816 175872 194192 217088 234496 291288 325632 351744 388384 468992 582576 651264 703488 776768 937984 1165152 1406976 1553536 2330304 2813952 3107072 4660608 6214144 9321216 12428288 18642432 24856576 37284864 49713152 74569728 149139456