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144957960 = 233257234161
BaseRepresentation
bin10001010001111…
…10001000001000
3101002202121221100
420220332020020
5244102123320
622214541400
73410056650
oct1050761010
9332677840
10144957960
1174909074
1240667860
1324054c54
1415375360
15cad5790
hex8a3e208

144957960 has 384 divisors, whose sum is σ = 584962560. Its totient is φ = 30412800.

The previous prime is 144957947. The next prime is 144957991. The reversal of 144957960 is 69759441.

144957960 is a `hidden beast` number, since 14 + 4 + 9 + 579 + 60 = 666.

144957960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2376330 + ... + 2376390.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2144957960 is an apocalyptic number.

144957960 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 144957960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

144957960 is an abundant number, since it is smaller than the sum of its proper divisors (440004600).

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

144957960 is a wasteful number, since it uses less digits than its factorization.

144957960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 144957960 is about 12039.8488362604. The cubic root of 144957960 is about 525.3080097361.

The spelling of 144957960 in words is "one hundred forty-four million, nine hundred fifty-seven thousand, nine hundred sixty".