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145215140 = 22578312497
BaseRepresentation
bin10001010011111…
…00111010100100
3101010020200201112
420221330322210
5244133341030
622224244152
73412210520
oct1051747244
9333220645
10145215140
1174a74314
1240770658
1324115025
1415400d80
15cb36a95
hex8a7cea4

145215140 has 48 divisors (see below), whose sum is σ = 352743552. Its totient is φ = 49184256.

The previous prime is 145215137. The next prime is 145215143. The reversal of 145215140 is 41512541.

145215140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145215137) and next prime (145215143).

It is not an unprimeable number, because it can be changed into a prime (145215143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5372 + ... + 17868.

It is an arithmetic number, because the mean of its divisors is an integer number (7348824).

Almost surely, 2145215140 is an apocalyptic number.

145215140 is a gapful number since it is divisible by the number (10) 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 145215140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176371776).

145215140 is an abundant number, since it is smaller than the sum of its proper divisors (207528412).

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

145215140 is a wasteful number, since it uses less digits than its factorization.

145215140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12596 (or 12594 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 145215140 is about 12050.5244699142. The cubic root of 145215140 is about 525.6184880214.

Adding to 145215140 its reverse (41512541), we get a palindrome (186727681).

The spelling of 145215140 in words is "one hundred forty-five million, two hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 5810 11620 12497 24994 49988 62485 87479 124970 174958 249940 349916 437395 874790 1037251 1749580 2074502 4149004 5186255 7260757 10372510 14521514 20745020 29043028 36303785 72607570 145215140