146109540 has 96 divisors (see below), whose sum is σ = 427109760. Its totient is φ = 37273600.

The previous prime is 146109503. The next prime is 146109599. The reversal of 146109540 is 45901641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 146109498 and 146109507.

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 31 ways as a sum of consecutive naturals, for example, 227620 + ... + 228260.

It is an arithmetic number, because the mean of its divisors is an integer number (4449060).

Almost surely, 2^146109540 is an apocalyptic number.

146109540 is a gapful number since it is divisible by the number (10) 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 146109540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213554880).

146109540 is an abundant number, since it is smaller than the sum of its proper divisors (281000220).

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

146109540 is a wasteful number, since it uses less digits than its factorization.

146109540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 146109540 is about 12087.5779211553. The cubic root of 146109540 is about 526.6953989203.

The spelling of 146109540 in words is "one hundred forty-six million, one hundred nine thousand, five hundred forty".