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148135637760 = 28351129314783
BaseRepresentation
bin1000100111110110010…
…0100111001100000000
3112011100211100002200020
42021331210213030000
54411340210402020
6152015204453440
713462640100555
oct2117544471400
9464324302606
10148135637760
1157907784210
12248623aa280
1310c7a245a36
147253d22a2c
153cc00b0c40
hex227d927300

148135637760 has 1152 divisors, whose sum is σ = 569646120960. Its totient is φ = 32445235200.

The previous prime is 148135637759. The next prime is 148135637773. The reversal of 148135637760 is 67736531841.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1784766679 + ... + 1784766761.

It is an arithmetic number, because the mean of its divisors is an integer number (494484480).

Almost surely, 2148135637760 is an apocalyptic number.

148135637760 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 148135637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284823060480).

148135637760 is an abundant number, since it is smaller than the sum of its proper divisors (421510483200).

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

148135637760 is a wasteful number, since it uses less digits than its factorization.

148135637760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 148135637760 in words is "one hundred forty-eight billion, one hundred thirty-five million, six hundred thirty-seven thousand, seven hundred sixty".