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147126000 = 24353731113
BaseRepresentation
bin10001100010011…
…11011011110000
3101020211202221010
420301033123300
5300131013000
622333230520
73434356530
oct1061173360
9336752833
10147126000
1176059a3a
1241332440
1324633a08
141577b4c0
15cdb2d50
hex8c4f6f0

147126000 has 320 divisors, whose sum is σ = 564535296. Its totient is φ = 32256000.

The previous prime is 147125977. The next prime is 147126017. The reversal of 147126000 is 621741.

147126000 is digitally balanced in base 2 and base 3, because in such bases 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 (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301944 + ... + 1302056.

Almost surely, 2147126000 is an apocalyptic number.

147126000 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 147126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282267648).

147126000 is an abundant number, since it is smaller than the sum of its proper divisors (417409296).

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

147126000 is a wasteful number, since it uses less digits than its factorization.

147126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 147126000 is about 12129.5506924206. The cubic root of 147126000 is about 527.9139552164.

Adding to 147126000 its reverse (621741), we get a palindrome (147747741).

The spelling of 147126000 in words is "one hundred forty-seven million, one hundred twenty-six thousand".