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148134666240 = 21336511241
BaseRepresentation
bin1000100111110110000…
…0111010000000000000
3112011100202111202000000
42021331200322000000
54411334433304430
6152015132000000
713462625613261
oct2117540720000
9464322452000
10148134666240
1157907180300
1224862000000
1310c79c95782
147253b4c968
153cbee6ce60
hex227d83a000

148134666240 has 1176 divisors, whose sum is σ = 600158242404. Its totient is φ = 35035545600.

The previous prime is 148134666233. The next prime is 148134666247. The reversal of 148134666240 is 42666431841.

It is an interprime number because it is at equal distance from previous prime (148134666233) and next prime (148134666247).

It can be written as a sum of positive squares in 2 ways, for example, as 130430767104 + 17703899136 = 361152^2 + 133056^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148134666247) 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 83 ways as a sum of consecutive naturals, for example, 3613040620 + ... + 3613040660.

Almost surely, 2148134666240 is an apocalyptic number.

148134666240 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 148134666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300079121202).

148134666240 is an abundant number, since it is smaller than the sum of its proper divisors (452023576164).

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

148134666240 is an frugal number, since it uses more digits than its factorization.

148134666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 148134666240 in words is "one hundred forty-eight billion, one hundred thirty-four million, six hundred sixty-six thousand, two hundred forty".