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148914800 = 245247892
BaseRepresentation
bin10001110000001…
…00001001110000
3101101012122200222
420320010021300
5301110233200
622435432212
73455516636
oct1070041160
9341178628
10148914800
1177070991
1241a55668
1324b0bc88
1415ac5356
15d117d85
hex8e04270

148914800 has 90 divisors (see below), whose sum is σ = 369531408. Its totient is φ = 57643520.

The previous prime is 148914791. The next prime is 148914809. The reversal of 148914800 is 8419841.

It is an interprime number because it is at equal distance from previous prime (148914791) and next prime (148914809).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148914809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1673156 + ... + 1673244.

Almost surely, 2148914800 is an apocalyptic number.

148914800 is a gapful number since it is divisible by the number (10) 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 148914800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184765704).

148914800 is an abundant number, since it is smaller than the sum of its proper divisors (220616608).

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

148914800 is an equidigital number, since it uses as much as digits as its factorization.

148914800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 148914800 is about 12203.0651887139. The cubic root of 148914800 is about 530.0448520248.

It can be divided in two parts, 14891 and 4800, that added together give a palindrome (19691).

The spelling of 148914800 in words is "one hundred forty-eight million, nine hundred fourteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 89 94 100 178 188 200 235 356 376 400 445 470 712 752 890 940 1175 1424 1780 1880 2225 2350 3560 3760 4183 4450 4700 7120 7921 8366 8900 9400 15842 16732 17800 18800 20915 31684 33464 35600 39605 41830 63368 66928 79210 83660 104575 126736 158420 167320 198025 209150 316840 334640 372287 396050 418300 633680 744574 792100 836600 1489148 1584200 1673200 1861435 2978296 3168400 3722870 5956592 7445740 9307175 14891480 18614350 29782960 37228700 74457400 148914800