146097540 has 48 divisors (see below), whose sum is σ = 454527360. Its totient is φ = 38959200.

The previous prime is 146097527. The next prime is 146097559. The reversal of 146097540 is 45790641.

146097540 is a `hidden beast` number, since 1 + 4 + 609 + 7 + 5 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 146097495 and 146097504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134736 + ... + 135815.

It is an arithmetic number, because the mean of its divisors is an integer number (9469320).

Almost surely, 2^146097540 is an apocalyptic number.

146097540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146097540 is an abundant number, since it is smaller than the sum of its proper divisors (308429820).

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

146097540 is a wasteful number, since it uses less digits than its factorization.

146097540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270569 (or 270561 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 146097540 is about 12087.0815336044. The cubic root of 146097540 is about 526.6809793329.

The spelling of 146097540 in words is "one hundred forty-six million, ninety-seven thousand, five hundred forty".