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151849152 = 26327132897
BaseRepresentation
bin10010000110100…
…00100011000000
3101120201201212200
421003100203000
5302333133102
623022353200
73522460620
oct1103204300
9346651780
10151849152
1178795574
1242a2b800
13255c8790
141624a880
15d4e751c
hex90d08c0

151849152 has 168 divisors, whose sum is σ = 535874976. Its totient is φ = 40034304.

The previous prime is 151849141. The next prime is 151849169. The reversal of 151849152 is 251948151.

151849152 is a `hidden beast` number, since 1 + 518 + 4 + 91 + 52 = 666.

151849152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50968 + ... + 53864.

It is an arithmetic number, because the mean of its divisors is an integer number (3189732).

Almost surely, 2151849152 is an apocalyptic number.

151849152 is a gapful number since it is divisible by the number (12) 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 151849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267937488).

151849152 is an abundant number, since it is smaller than the sum of its proper divisors (384025824).

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

151849152 is a wasteful number, since it uses less digits than its factorization.

151849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2922 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 151849152 is about 12322.7087931185. The cubic root of 151849152 is about 533.5037261116.

It can be divided in two parts, 15184 and 9152, that added together give a square (24336 = 1562).

The spelling of 151849152 in words is "one hundred fifty-one million, eight hundred forty-nine thousand, one hundred fifty-two".