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149853000 = 233531119239
BaseRepresentation
bin10001110111010…
…01001101001000
3101102222022200010
420323221031020
5301330244000
622511511520
73466505133
oct1073511510
9342868603
10149853000
1177651860
12422285a0
132507a01b
1415c8b21a
15d250d50
hex8ee9348

149853000 has 256 divisors, whose sum is σ = 539136000. Its totient is φ = 34272000.

The previous prime is 149852999. The next prime is 149853001. The reversal of 149853000 is 358941.

It is an interprime number because it is at equal distance from previous prime (149852999) and next prime (149853001).

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 (149853001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 626881 + ... + 627119.

It is an arithmetic number, because the mean of its divisors is an integer number (2106000).

Almost surely, 2149853000 is an apocalyptic number.

149853000 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 149853000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269568000).

149853000 is an abundant number, since it is smaller than the sum of its proper divisors (389283000).

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

149853000 is a wasteful number, since it uses less digits than its factorization.

149853000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 149853000 is about 12241.4459930190. The cubic root of 149853000 is about 531.1556602954.

The spelling of 149853000 in words is "one hundred forty-nine million, eight hundred fifty-three thousand".