145885536 has 144 divisors (see below), whose sum is σ = 437817744. Its totient is φ = 47775744.

The previous prime is 145885501. The next prime is 145885543. The reversal of 145885536 is 635588541.

145885536 is a `hidden beast` number, since 14 + 5 + 88 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×145885536² = 42565179228014592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145885491 and 145885500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567520 + ... + 567776.

It is an arithmetic number, because the mean of its divisors is an integer number (3040401).

Almost surely, 2^145885536 is an apocalyptic number.

145885536 is a gapful number since it is divisible by the number (16) 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 145885536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218908872).

145885536 is an abundant number, since it is smaller than the sum of its proper divisors (291932208).

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

145885536 is an equidigital number, since it uses as much as digits as its factorization.

145885536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 145885536 is about 12078.3084908442. The cubic root of 145885536 is about 526.4260981816.

The spelling of 145885536 in words is "one hundred forty-five million, eight hundred eighty-five thousand, five hundred thirty-six".