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150875136 = 2103417107
BaseRepresentation
bin10001111111000…
…10110000000000
3101111220020210000
420333202300000
5302111001021
622545440000
73511263126
oct1077426000
9344806700
10150875136
117818a7a5
1242640000
1325347339
1416075916
15d3a3b26
hex8fe2c00

150875136 has 220 divisors, whose sum is σ = 481503528. Its totient is φ = 46891008.

The previous prime is 150875129. The next prime is 150875177. The reversal of 150875136 is 631578051.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 150875136.

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 19 ways as a sum of consecutive naturals, for example, 1409995 + ... + 1410101.

Almost surely, 2150875136 is an apocalyptic number.

150875136 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 150875136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240751764).

150875136 is an abundant number, since it is smaller than the sum of its proper divisors (330628392).

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

150875136 is a wasteful number, since it uses less digits than its factorization.

150875136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 150875136 is about 12283.1240325904. The cubic root of 150875136 is about 532.3605824261.

The spelling of 150875136 in words is "one hundred fifty million, eight hundred seventy-five thousand, one hundred thirty-six".