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148148542080 = 273357112347103
BaseRepresentation
bin1000100111111001010…
…1110101101010000000
3112011101201121201002000
42021332111311222000
54411402011321310
6152020345224000
713463154554520
oct2117625655200
9464351551060
10148148542080
1157913a98440
1224866792000
1310c7cb13526
147255921680
153cc12ae4c0
hex227e575a80

148148542080 has 2048 divisors, whose sum is σ = 703895961600. Its totient is φ = 28539371520.

The previous prime is 148148542063. The next prime is 148148542109. The reversal of 148148542080 is 80245841841.

148148542080 is a `hidden beast` number, since 1 + 4 + 8 + 148 + 5 + 420 + 80 = 666.

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 255 ways as a sum of consecutive naturals, for example, 1438335309 + ... + 1438335411.

It is an arithmetic number, because the mean of its divisors is an integer number (343699200).

Almost surely, 2148148542080 is an apocalyptic number.

148148542080 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 148148542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351947980800).

148148542080 is an abundant number, since it is smaller than the sum of its proper divisors (555747419520).

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

148148542080 is a wasteful number, since it uses less digits than its factorization.

148148542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 148148542080 in words is "one hundred forty-eight billion, one hundred forty-eight million, five hundred forty-two thousand, eighty".