145156032 has 252 divisors, whose sum is σ = 500649240. Its totient is φ = 40061952.

The previous prime is 145156019. The next prime is 145156051. The reversal of 145156032 is 230651541.

145156032 is a `hidden beast` number, since 1 + 4 + 51 + 5 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 145155987 and 145156005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1044219 + ... + 1044357.

Almost surely, 2^145156032 is an apocalyptic number.

145156032 is a gapful number since it is divisible by the number (12) 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 145156032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250324620).

145156032 is an abundant number, since it is smaller than the sum of its proper divisors (355493208).

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

145156032 is a wasteful number, since it uses less digits than its factorization.

145156032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 145156032 is about 12048.0717129340. The cubic root of 145156032 is about 525.5471628739.

The spelling of 145156032 in words is "one hundred forty-five million, one hundred fifty-six thousand, thirty-two".