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149457000 = 23353711647
BaseRepresentation
bin10001110100010…
…00100001101000
3101102020012110110
420322020201220
5301230111000
622455214320
73463235460
oct1072104150
9342205413
10149457000
1177401290
12420773a0
1324c6b9c4
1415bc6ba0
15d1c3850
hex8e88868

149457000 has 256 divisors, whose sum is σ = 582266880. Its totient is φ = 31008000.

The previous prime is 149456939. The next prime is 149457001. The reversal of 149457000 is 754941.

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 not an unprimeable number, because it can be changed into a prime (149457001) 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, 230677 + ... + 231323.

It is an arithmetic number, because the mean of its divisors is an integer number (2274480).

Almost surely, 2149457000 is an apocalyptic number.

149457000 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 149457000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291133440).

149457000 is an abundant number, since it is smaller than the sum of its proper divisors (432809880).

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

149457000 is a wasteful number, since it uses less digits than its factorization.

149457000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 149457000 is about 12225.2607334159. The cubic root of 149457000 is about 530.6873720559.

It can be divided in two parts, 14945 and 7000, that added together give a triangular number (21945 = T209).

The spelling of 149457000 in words is "one hundred forty-nine million, four hundred fifty-seven thousand".