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149513000 = 23537133153
BaseRepresentation
bin10001110100101…
…10001100101000
3101102100001021112
420322112030220
5301233404000
622500325452
73463560650
oct1072261450
9342301245
10149513000
117743a36a
12420a3888
1324c8b340
1415bdd360
15d1d5235
hex8e96328

149513000 has 256 divisors, whose sum is σ = 452874240. Its totient is φ = 44928000.

The previous prime is 149512997. The next prime is 149513003. The reversal of 149513000 is 315941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149512997) and next prime (149513003).

It is not an unprimeable number, because it can be changed into a prime (149513003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2820974 + ... + 2821026.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2149513000 is an apocalyptic number.

149513000 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 149513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

149513000 is an abundant number, since it is smaller than the sum of its proper divisors (303361240).

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

149513000 is a wasteful number, since it uses less digits than its factorization.

149513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 149513000 is about 12227.5508586143. The cubic root of 149513000 is about 530.7536448118.

Adding to 149513000 its reverse (315941), we get a palindrome (149828941).

The spelling of 149513000 in words is "one hundred forty-nine million, five hundred thirteen thousand".