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150923136 = 2737213617
BaseRepresentation
bin10001111111011…
…10011110000000
3101111222200121210
420333232132000
5302114020021
622550450120
73511553100
oct1077563600
9344880553
10150923136
1178212871
1242663940
1325363140
1416089200
15d3b2e76
hex8fee780

150923136 has 192 divisors, whose sum is σ = 503027280. Its totient is φ = 39739392.

The previous prime is 150923131. The next prime is 150923153. The reversal of 150923136 is 631329051.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150923131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244300 + ... + 244916.

Almost surely, 2150923136 is an apocalyptic number.

150923136 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 150923136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251513640).

150923136 is an abundant number, since it is smaller than the sum of its proper divisors (352104144).

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

150923136 is a wasteful number, since it uses less digits than its factorization.

150923136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 150923136 is about 12285.0777775316. The cubic root of 150923136 is about 532.4170321925.

The spelling of 150923136 in words is "one hundred fifty million, nine hundred twenty-three thousand, one hundred thirty-six".