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148135758600 = 233521493165367
BaseRepresentation
bin1000100111110110010…
…1000100101100001000
3112011100211120020102210
42021331211010230020
54411340223233400
6152015211225120
713462641113064
oct2117545045410
9464324506383
10148135758600
1157907856a85
12248624481a0
1310c7a288a3b
147253d54aa4
153cc00d6950
hex227d944b08

148135758600 has 96 divisors (see below), whose sum is σ = 459531213120. Its totient is φ = 39476171520.

The previous prime is 148135758583. The next prime is 148135758637. The reversal of 148135758600 is 6857531841.

It is a self number, because there is not a number n which added to its sum of digits gives 148135758600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813117 + ... + 978483.

It is an arithmetic number, because the mean of its divisors is an integer number (4786783470).

Almost surely, 2148135758600 is an apocalyptic number.

148135758600 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 148135758600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229765606560).

148135758600 is an abundant number, since it is smaller than the sum of its proper divisors (311395454520).

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

148135758600 is a wasteful number, since it uses less digits than its factorization.

148135758600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166879 (or 166870 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 148135758600 in words is "one hundred forty-eight billion, one hundred thirty-five million, seven hundred fifty-eight thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1493 2986 4479 5972 7465 8958 11944 14930 17916 22395 29860 35832 37325 44790 59720 74650 89580 111975 149300 165367 179160 223950 298600 330734 447900 496101 661468 826835 895800 992202 1322936 1653670 1984404 2480505 3307340 3968808 4134175 4961010 6614680 8268350 9922020 12402525 16536700 19844040 24805050 33073400 49610100 99220200 246892931 493785862 740678793 987571724 1234464655 1481357586 1975143448 2468929310 2962715172 3703393965 4937858620 5925430344 6172323275 7406787930 9875717240 12344646550 14813575860 18516969825 24689293100 29627151720 37033939650 49378586200 74067879300 148135758600