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151352144 = 24231932131
BaseRepresentation
bin10010000010101…
…11001101010000
3101112210111002222
421001113031100
5302221232034
623004000212
73515320616
oct1101271520
9345714088
10151352144
1178486119
1242830068
13254834a8
141615b6b6
15d44a12e
hex9057350

151352144 has 40 divisors (see below), whose sum is σ = 307724352. Its totient is φ = 71976960.

The previous prime is 151352111. The next prime is 151352147. The reversal of 151352144 is 441253151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151352147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 69959 + ... + 72089.

Almost surely, 2151352144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151352144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153862176).

151352144 is an abundant number, since it is smaller than the sum of its proper divisors (156372208).

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

151352144 is a wasteful number, since it uses less digits than its factorization.

151352144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2349 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 151352144 is about 12302.5259195012. The cubic root of 151352144 is about 532.9210306499.

The spelling of 151352144 in words is "one hundred fifty-one million, three hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 184 193 368 386 772 1544 2131 3088 4262 4439 8524 8878 17048 17756 34096 35512 49013 71024 98026 196052 392104 411283 784208 822566 1645132 3290264 6580528 9459509 18919018 37838036 75676072 151352144