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149285136 = 243711132239
BaseRepresentation
bin10001110010111…
…10100100010000
3101101220110201010
420321132210100
5301204111021
622451410520
73461621430
oct1071364420
9341813633
10149285136
11772a4150
1241bb3a40
1324c0b700
1415b802c0
15d18c976
hex8e5e910

149285136 has 240 divisors, whose sum is σ = 522823680. Its totient is φ = 35642880.

The previous prime is 149285107. The next prime is 149285159. The reversal of 149285136 is 631582941.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 149285094 and 149285103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624505 + ... + 624743.

It is an arithmetic number, because the mean of its divisors is an integer number (2178432).

Almost surely, 2149285136 is an apocalyptic number.

149285136 is a gapful number since it is divisible by the number (16) 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 149285136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261411840).

149285136 is an abundant number, since it is smaller than the sum of its proper divisors (373538544).

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

149285136 is a wasteful number, since it uses less digits than its factorization.

149285136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 275 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 149285136 is about 12218.2296589972. The cubic root of 149285136 is about 530.4838775461.

The spelling of 149285136 in words is "one hundred forty-nine million, two hundred eighty-five thousand, one hundred thirty-six".