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148135624 = 23721341709
BaseRepresentation
bin10001101010001…
…01111011001000
3101022202001212121
420311011323020
5300410314444
622411021024
73446063200
oct1065057310
9338661777
10148135624
117668953a
124173a774
13248c8420
1415961400
15d012084
hex8d45ec8

148135624 has 96 divisors (see below), whose sum is σ = 356945400. Its totient is φ = 57093120.

The previous prime is 148135621. The next prime is 148135657. The reversal of 148135624 is 426531841.

It can be written as a sum of positive squares in 4 ways, for example, as 33431524 + 114704100 = 5782^2 + 10710^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 148135624.

It is not an unprimeable number, because it can be changed into a prime (148135621) 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 23 ways as a sum of consecutive naturals, for example, 208582 + ... + 209290.

Almost surely, 2148135624 is an apocalyptic number.

148135624 is a gapful number since it is divisible by the number (14) 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 148135624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178472700).

148135624 is an abundant number, since it is smaller than the sum of its proper divisors (208809776).

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

148135624 is a wasteful number, since it uses less digits than its factorization.

148135624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 772 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 148135624 is about 12171.0978962458. The cubic root of 148135624 is about 529.1187729347.

The spelling of 148135624 in words is "one hundred forty-eight million, one hundred thirty-five thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 41 49 52 56 82 91 98 104 164 182 196 287 328 364 392 533 574 637 709 728 1066 1148 1274 1418 2009 2132 2296 2548 2836 3731 4018 4264 4963 5096 5672 7462 8036 9217 9926 14924 16072 18434 19852 26117 29069 29848 34741 36868 39704 52234 58138 64519 69482 73736 104468 116276 129038 138964 203483 208936 232552 258076 277928 377897 406966 451633 516152 755794 813932 903266 1424381 1511588 1627864 1806532 2645279 2848762 3023176 3613064 5290558 5697524 10581116 11395048 18516953 21162232 37033906 74067812 148135624