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145341000 = 2333537769
BaseRepresentation
bin10001010100110…
…11101001001000
3101010111002101000
420222123221020
5244201403000
622231055000
73413243460
oct1052335110
9333432330
10145341000
117504a932
1240811460
132415a3bc
1415434ba0
15cb5e000
hex8a9ba48

145341000 has 256 divisors, whose sum is σ = 576576000. Its totient is φ = 33177600.

The previous prime is 145340983. The next prime is 145341037. The reversal of 145341000 is 143541.

It is a happy number.

It is a super-2 number, since 2×1453410002 = 42248012562000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188616 + ... + 189384.

It is an arithmetic number, because the mean of its divisors is an integer number (2252250).

Almost surely, 2145341000 is an apocalyptic number.

145341000 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 145341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288288000).

145341000 is an abundant number, since it is smaller than the sum of its proper divisors (431235000).

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

145341000 is a wasteful number, since it uses less digits than its factorization.

145341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 145341000 is about 12055.7455182166. The cubic root of 145341000 is about 525.7702978116.

Adding to 145341000 its reverse (143541), we get a palindrome (145484541).

The spelling of 145341000 in words is "one hundred forty-five million, three hundred forty-one thousand".