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145236000 = 25353721319
BaseRepresentation
bin10001010100000…
…10000000100000
3101010021202100010
420222002000200
5244140023000
622224524520
73412325400
oct1052020040
9333252303
10145236000
1174a88a58
1240780740
1324121680
1415408800
15cb3cd50
hex8a82020

145236000 has 576 divisors, whose sum is σ = 627419520. Its totient is φ = 29030400.

The previous prime is 145235977. The next prime is 145236011. The reversal of 145236000 is 632541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7643991 + ... + 7644009.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2145236000 is an apocalyptic number.

145236000 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 145236000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

145236000 is an abundant number, since it is smaller than the sum of its proper divisors (482183520).

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

145236000 is a wasteful number, since it uses less digits than its factorization.

145236000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 145236000 is about 12051.3899613281. The cubic root of 145236000 is about 525.6436549948.

Adding to 145236000 its reverse (632541), we get a palindrome (145868541).

The spelling of 145236000 in words is "one hundred forty-five million, two hundred thirty-six thousand".