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131000144 = 24111674457
BaseRepresentation
bin1111100111011…
…10011101010000
3100010111111102012
413303232131100
5232014001034
620555442052
73150324422
oct763563520
9303444365
10131000144
1167a45390
1237a56328
13211a8aa2
1413580812
15b779cce
hex7cee750

131000144 has 40 divisors (see below), whose sum is σ = 278607168. Its totient is φ = 59175680.

The previous prime is 131000087. The next prime is 131000161. The reversal of 131000144 is 441000131.

It is a happy number.

It is a super-2 number, since 2×1310001442 = 34322075456041472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27164 + ... + 31620.

Almost surely, 2131000144 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 131000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139303584).

131000144 is an abundant number, since it is smaller than the sum of its proper divisors (147607024).

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

131000144 is a wasteful number, since it uses less digits than its factorization.

131000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 131000144 is about 11445.5294329271. The cubic root of 131000144 is about 507.8754939049.

Adding to 131000144 its reverse (441000131), we get a palindrome (572000275).

The spelling of 131000144 in words is "one hundred thirty-one million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 44 88 167 176 334 668 1336 1837 2672 3674 4457 7348 8914 14696 17828 29392 35656 49027 71312 98054 196108 392216 744319 784432 1488638 2977276 5954552 8187509 11909104 16375018 32750036 65500072 131000144