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148905120 = 25357213487
BaseRepresentation
bin10001110000000…
…01110010100000
3101101012011102110
420320001302200
5301104430440
622435315320
73455446500
oct1070016240
9341164373
10148905120
1177064691
1241a4bb40
1324b07750
1415ac1a00
15d115080
hex8e01ca0

148905120 has 288 divisors, whose sum is σ = 588809088. Its totient is φ = 31352832.

The previous prime is 148905089. The next prime is 148905149. The reversal of 148905120 is 21509841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305517 + ... + 306003.

It is an arithmetic number, because the mean of its divisors is an integer number (2044476).

Almost surely, 2148905120 is an apocalyptic number.

148905120 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 148905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294404544).

148905120 is an abundant number, since it is smaller than the sum of its proper divisors (439903968).

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

148905120 is a wasteful number, since it uses less digits than its factorization.

148905120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 148905120 is about 12202.6685606059. The cubic root of 148905120 is about 530.0333668325.

The spelling of 148905120 in words is "one hundred forty-eight million, nine hundred five thousand, one hundred twenty".