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148345920 = 26325192711
BaseRepresentation
bin10001101011110…
…01010001000000
3101100010202100100
420311321101000
5300434032140
622415322400
73450630252
oct1065712100
9340122310
10148345920
1176812538
1241820400
1324970068
14159b7cd2
15d054530
hex8d79440

148345920 has 168 divisors, whose sum is σ = 537301440. Its totient is φ = 37463040.

The previous prime is 148345903. The next prime is 148345931. The reversal of 148345920 is 29543841.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53365 + ... + 56075.

Almost surely, 2148345920 is an apocalyptic number.

148345920 is a gapful number since it is divisible by the number (10) 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 148345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268650720).

148345920 is an abundant number, since it is smaller than the sum of its proper divisors (388955520).

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

148345920 is a wasteful number, since it uses less digits than its factorization.

148345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 148345920 is about 12179.7339872429. The cubic root of 148345920 is about 529.3690367259.

The spelling of 148345920 in words is "one hundred forty-eight million, three hundred forty-five thousand, nine hundred twenty".