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148134495600 = 243352713197933
BaseRepresentation
bin1000100111110110000…
…0010000010101110000
3112011100202012001221000
42021331200100111300
54411334412324400
6152015124202000
713462624302630
oct2117540202560
9464322161830
10148134495600
1157907074083
1224861b39300
1310c79c35bc0
147253b066c0
153cbee37600
hex227d810570

148134495600 has 960 divisors, whose sum is σ = 683161830400. Its totient is φ = 29606031360.

The previous prime is 148134495571. The next prime is 148134495611. The reversal of 148134495600 is 6594431841.

148134495600 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 34 + 4 + 9 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18669234 + ... + 18677166.

Almost surely, 2148134495600 is an apocalyptic number.

148134495600 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 148134495600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341580915200).

148134495600 is an abundant number, since it is smaller than the sum of its proper divisors (535027334800).

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

148134495600 is a wasteful number, since it uses less digits than its factorization.

148134495600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7999 (or 7982 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 148134495600 in words is "one hundred forty-eight billion, one hundred thirty-four million, four hundred ninety-five thousand, six hundred".