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148908960 = 25325103409
BaseRepresentation
bin10001110000000…
…10101110100000
3101101012100200200
420320002232200
5301110041320
622435345200
73455463624
oct1070025640
9341170620
10148908960
1177067562
1241a52200
1324b09415
1415ac3184
15d116290
hex8e02ba0

148908960 has 72 divisors (see below), whose sum is σ = 508156740. Its totient is φ = 39708672.

The previous prime is 148908941. The next prime is 148908971. The reversal of 148908960 is 69809841.

It can be written as a sum of positive squares in 2 ways, for example, as 147768336 + 1140624 = 12156^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50265 + ... + 53144.

Almost surely, 2148908960 is an apocalyptic number.

148908960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148908960 is an abundant number, since it is smaller than the sum of its proper divisors (359247780).

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

148908960 is a wasteful number, since it uses less digits than its factorization.

148908960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103430 (or 103419 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 148908960 is about 12202.8259022245. The cubic root of 148908960 is about 530.0379230014.

The spelling of 148908960 in words is "one hundred forty-eight million, nine hundred eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 103409 206818 310227 413636 517045 620454 827272 930681 1034090 1240908 1551135 1654544 1861362 2068180 2481816 3102270 3309088 3722724 4136360 4653405 4963632 6204540 7445448 8272720 9306810 9927264 12409080 14890896 16545440 18613620 24818160 29781792 37227240 49636320 74454480 148908960