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148934016 = 27327112373
BaseRepresentation
bin10001110000010…
…00110110000000
3101101020122001200
420320020312000
5301111342031
622440101200
73455626650
oct1070106600
9341218050
10148934016
1177084370
1241a64800
1324b1794a
1415acc360
15d11d8e6
hex8e08d80

148934016 has 384 divisors, whose sum is σ = 565194240. Its totient is φ = 36495360.

The previous prime is 148934011. The next prime is 148934021. The reversal of 148934016 is 610439841.

It is an interprime number because it is at equal distance from previous prime (148934011) and next prime (148934021).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1489340162 = 44362682243776512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148934011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2040156 + ... + 2040228.

It is an arithmetic number, because the mean of its divisors is an integer number (1471860).

Almost surely, 2148934016 is an apocalyptic number.

148934016 is a gapful number since it is divisible by the number (16) 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 148934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282597120).

148934016 is an abundant number, since it is smaller than the sum of its proper divisors (416260224).

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

148934016 is a wasteful number, since it uses less digits than its factorization.

148934016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 148934016 is about 12203.8525064834. The cubic root of 148934016 is about 530.0676500807.

The spelling of 148934016 in words is "one hundred forty-eight million, nine hundred thirty-four thousand, sixteen".