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151038144 = 26321937373
BaseRepresentation
bin10010000000010…
…10100011000000
3101112012112101100
421000022203000
5302131210034
622553134400
73512542305
oct1100124300
9345175340
10151038144
1178291214
12426ba400
13253a35aa
14160b90ac
15d3d7099
hex900a8c0

151038144 has 168 divisors, whose sum is σ = 469280240. Its totient is φ = 46282752.

The previous prime is 151038143. The next prime is 151038157. The reversal of 151038144 is 441830151.

It is a happy number.

151038144 is a `hidden beast` number, since 1 + 510 + 3 + 8 + 144 = 666.

It is a super-4 number, since 4×1510381444 (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (151038143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404742 + ... + 405114.

Almost surely, 2151038144 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 151038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234640120).

151038144 is an abundant number, since it is smaller than the sum of its proper divisors (318242096).

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

151038144 is a wasteful number, since it uses less digits than its factorization.

151038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 151038144 is about 12289.7576867894. The cubic root of 151038144 is about 532.5522371554.

Adding to 151038144 its reverse (441830151), we get a palindrome (592868295).

The spelling of 151038144 in words is "one hundred fifty-one million, thirty-eight thousand, one hundred forty-four".