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149445000 = 23365441
BaseRepresentation
bin10001110100001…
…01100110001000
3101102012121000000
420322011212020
5301224220000
622455043000
73463155465
oct1072054610
9342177000
10149445000
11773a3271
1242070460
1324c663c3
1415bc266c
15d1c0000
hex8e85988

149445000 has 280 divisors, whose sum is σ = 537788790. Its totient is φ = 38880000.

The previous prime is 149444993. The next prime is 149445019. The reversal of 149445000 is 544941.

It can be written as a sum of positive squares in 5 ways, for example, as 4435236 + 145009764 = 2106^2 + 12042^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 69 ways as a sum of consecutive naturals, for example, 3644980 + ... + 3645020.

Almost surely, 2149445000 is an apocalyptic number.

149445000 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 149445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894395).

149445000 is an abundant number, since it is smaller than the sum of its proper divisors (388343790).

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

149445000 is an frugal number, since it uses more digits than its factorization.

149445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 149445000 is about 12224.7699364855. The cubic root of 149445000 is about 530.6731685973.

Adding to 149445000 its reverse (544941), we get a palindrome (149989941).

The spelling of 149445000 in words is "one hundred forty-nine million, four hundred forty-five thousand".