146515840 has 64 divisors (see below), whose sum is σ = 368730000. Its totient is φ = 55517184.

The previous prime is 146515823. The next prime is 146515841. The reversal of 146515840 is 48515641.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 146515796 and 146515805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146515841) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6136 + ... + 18184.

Almost surely, 2^146515840 is an apocalyptic number.

146515840 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 146515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184365000).

146515840 is an abundant number, since it is smaller than the sum of its proper divisors (222214160).

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

146515840 is a wasteful number, since it uses less digits than its factorization.

146515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12087 (or 12075 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 146515840 is about 12104.3727635925. The cubic root of 146515840 is about 527.1831569106.

The spelling of 146515840 in words is "one hundred forty-six million, five hundred fifteen thousand, eight hundred forty".