146101032 has 288 divisors, whose sum is σ = 527791680. Its totient is φ = 35458560.

The previous prime is 146101027. The next prime is 146101061. The reversal of 146101032 is 230101641.

It is a happy number.

146101032 is a `hidden beast` number, since 14 + 610 + 10 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 146100996 and 146101014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2001348 + ... + 2001420.

It is an arithmetic number, because the mean of its divisors is an integer number (1832610).

Almost surely, 2^146101032 is an apocalyptic number.

146101032 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 146101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263895840).

146101032 is an abundant number, since it is smaller than the sum of its proper divisors (381690648).

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

146101032 is a wasteful number, since it uses less digits than its factorization.

146101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 146101032 is about 12087.2259844846. The cubic root of 146101032 is about 526.6851755143.

Adding to 146101032 its reverse (230101641), we get a palindrome (376202673).

The spelling of 146101032 in words is "one hundred forty-six million, one hundred one thousand, thirty-two".