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145999854 = 233711133773
BaseRepresentation
bin10001011001111…
…00011111101110
3101011201120011000
420230330133232
5244333443404
622253141130
73421656360
oct1054743756
9334646130
10145999854
117545a940
1240a8a7a6
132432b260
1415566d30
15cc3e339
hex8b3c7ee

145999854 has 256 divisors, whose sum is σ = 453519360. Its totient is φ = 33592320.

The previous prime is 145999831. The next prime is 145999871. The reversal of 145999854 is 458999541.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 145999854.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1999962 + ... + 2000034.

It is an arithmetic number, because the mean of its divisors is an integer number (1771560).

Almost surely, 2145999854 is an apocalyptic number.

145999854 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145999854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226759680).

145999854 is an abundant number, since it is smaller than the sum of its proper divisors (307519506).

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

145999854 is a wasteful number, since it uses less digits than its factorization.

145999854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 145999854 is about 12083.0399320701. The cubic root of 145999854 is about 526.5635672958.

It can be divided in two parts, 145 and 999854, that added together give a palindrome (999999).

The spelling of 145999854 in words is "one hundred forty-five million, nine hundred ninety-nine thousand, eight hundred fifty-four".