145861632 has 396 divisors, whose sum is σ = 546057720. Its totient is φ = 37158912.

The previous prime is 145861601. The next prime is 145861637. The reversal of 145861632 is 236168541.

It is a happy number.

145861632 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 616 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145861637) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7676919 + ... + 7676937.

Almost surely, 2^145861632 is an apocalyptic number.

145861632 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 145861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273028860).

145861632 is an abundant number, since it is smaller than the sum of its proper divisors (400196088).

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

145861632 is a wasteful number, since it uses less digits than its factorization.

145861632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 145861632 is about 12077.3189077709. The cubic root of 145861632 is about 526.3973441846.

The spelling of 145861632 in words is "one hundred forty-five million, eight hundred sixty-one thousand, six hundred thirty-two".