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148074080 = 255721117101
BaseRepresentation
bin10001101001101…
…10111001100000
3101022121221110012
420310312321200
5300401332310
622405424052
73445415600
oct1064667140
9338557405
10148074080
1176647280
124170b028
13248a63cb
1415946c00
15ceedc05
hex8d36e60

148074080 has 288 divisors, whose sum is σ = 474701472. Its totient is φ = 43008000.

The previous prime is 148074077. The next prime is 148074107. The reversal of 148074080 is 80470841.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1466030 + ... + 1466130.

It is an arithmetic number, because the mean of its divisors is an integer number (1648269).

Almost surely, 2148074080 is an apocalyptic number.

148074080 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 148074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237350736).

148074080 is an abundant number, since it is smaller than the sum of its proper divisors (326627392).

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

148074080 is a wasteful number, since it uses less digits than its factorization.

148074080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 148074080 is about 12168.5693489416. The cubic root of 148074080 is about 529.0454873973.

The spelling of 148074080 in words is "one hundred forty-eight million, seventy-four thousand, eighty".