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148656144 = 24371334033
BaseRepresentation
bin10001101110001…
…01000000010000
3101100201111220010
420313011000100
5301023444034
622430114520
73453361560
oct1067050020
9340644803
10148656144
1176a0461a
124194ba40
1324a4b320
1415a58da0
15d0b63e9
hex8dc5010

148656144 has 80 divisors (see below), whose sum is σ = 472664192. Its totient is φ = 39204864.

The previous prime is 148656113. The next prime is 148656169. The reversal of 148656144 is 441656841.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12649 + ... + 21384.

Almost surely, 2148656144 is an apocalyptic number.

148656144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

148656144 is an abundant number, since it is smaller than the sum of its proper divisors (324008048).

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

148656144 is a wasteful number, since it uses less digits than its factorization.

148656144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34064 (or 34058 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 148656144 is about 12192.4625896494. The cubic root of 148656144 is about 529.7377888906.

It can be divided in two parts, 1486 and 56144, that added together give a triangular number (57630 = T339).

The spelling of 148656144 in words is "one hundred forty-eight million, six hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 34033 68066 102099 136132 204198 238231 272264 408396 442429 476462 544528 714693 816792 884858 952924 1327287 1429386 1633584 1769716 1905848 2654574 2858772 3097003 3539432 3811696 5309148 5717544 6194006 7078864 9291009 10618296 11435088 12388012 18582018 21236592 24776024 37164036 49552048 74328072 148656144