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152150166 = 2327672269
BaseRepresentation
bin10010001000110…
…10000010010110
3101121022000210100
421010122002112
5302422301131
623033034530
73525153330
oct1104320226
9347260710
10152150166
1178980743
1242b55a46
13256a27ac
14162c8450
15d5567e6
hex911a096

152150166 has 72 divisors (see below), whose sum is σ = 383881680. Its totient is φ = 42663456.

The previous prime is 152150149. The next prime is 152150171. The reversal of 152150166 is 661051251.

It is a happy number.

152150166 is a `hidden beast` number, since 152 + 1 + 501 + 6 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 565480 + ... + 565748.

It is an arithmetic number, because the mean of its divisors is an integer number (5331690).

Almost surely, 2152150166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152150166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191940840).

152150166 is an abundant number, since it is smaller than the sum of its proper divisors (231731514).

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

152150166 is a wasteful number, since it uses less digits than its factorization.

152150166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 152150166 is about 12334.9165380233. The cubic root of 152150166 is about 533.8560189190.

The spelling of 152150166 in words is "one hundred fifty-two million, one hundred fifty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 269 402 469 538 603 807 938 1206 1407 1614 1883 2421 2814 3766 4221 4489 4842 5649 8442 8978 11298 13467 16947 18023 26934 31423 33894 36046 40401 54069 62846 80802 94269 108138 126161 162207 188538 252322 282807 324414 378483 565614 756966 1135449 1207541 2270898 2415082 3622623 7245246 8452787 10867869 16905574 21735738 25358361 50716722 76075083 152150166