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148141368 = 23324743777
BaseRepresentation
bin10001101010001…
…11010100111000
3101022202100202100
420311013110320
5300411010433
622411103400
73446116014
oct1065072470
9338670670
10148141368
1176692891
1241741b60
13248cac1b
1415963544
15d013b13
hex8d47538

148141368 has 48 divisors (see below), whose sum is σ = 409762080. Its totient is φ = 48328704.

The previous prime is 148141361. The next prime is 148141369. The reversal of 148141368 is 863141841.

It is a happy number.

It is a super-2 number, since 2×1481413682 = 43891729825822848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148141361) 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 11 ways as a sum of consecutive naturals, for example, 18505 + ... + 25272.

It is an arithmetic number, because the mean of its divisors is an integer number (8536710).

Almost surely, 2148141368 is an apocalyptic number.

148141368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

148141368 is an abundant number, since it is smaller than the sum of its proper divisors (261620712).

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

148141368 is a wasteful number, since it uses less digits than its factorization.

148141368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43836 (or 43829 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 148141368 is about 12171.3338628106. Note that the first 3 decimals coincide. The cubic root of 148141368 is about 529.1256117555.

It can be divided in two parts, 1481 and 41368, that added together give a square (42849 = 2072).

The spelling of 148141368 in words is "one hundred forty-eight million, one hundred forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 43777 87554 131331 175108 262662 350216 393993 525324 787986 1050648 1575972 2057519 3151944 4115038 6172557 8230076 12345114 16460152 18517671 24690228 37035342 49380456 74070684 148141368