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148721664 = 2123721319
BaseRepresentation
bin10001101110101…
…01000000000000
3101100211211202210
420313111000000
5301033043124
622431342120
73454053600
oct1067250000
9340754683
10148721664
1176a49873
1241981940
1324a720b0
1415a74c00
15d0caa29
hex8dd5000

148721664 has 312 divisors, whose sum is σ = 522913440. Its totient is φ = 37158912.

The previous prime is 148721647. The next prime is 148721669. The reversal of 148721664 is 466127841.

It is a tau number, because it is divible by the number of its divisors (312).

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

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 (148721669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7827447 + ... + 7827465.

Almost surely, 2148721664 is an apocalyptic number.

148721664 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 148721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261456720).

148721664 is an abundant number, since it is smaller than the sum of its proper divisors (374191776).

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

148721664 is a wasteful number, since it uses less digits than its factorization.

148721664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 44 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 148721664 is about 12195.1491995793. The cubic root of 148721664 is about 529.8156045373.

The spelling of 148721664 in words is "one hundred forty-eight million, seven hundred twenty-one thousand, six hundred sixty-four".