146551356 has 216 divisors, whose sum is σ = 475793136. Its totient is φ = 39191040.

The previous prime is 146551309. The next prime is 146551393. The reversal of 146551356 is 653155641.

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

It is a self number, because there is not a number n which added to its sum of digits gives 146551356.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 809586 + ... + 809766.

It is an arithmetic number, because the mean of its divisors is an integer number (2202746).

Almost surely, 2^146551356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146551356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237896568).

146551356 is an abundant number, since it is smaller than the sum of its proper divisors (329241780).

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

146551356 is a wasteful number, since it uses less digits than its factorization.

146551356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 146551356 is about 12105.8397478242. The cubic root of 146551356 is about 527.2257505404.

The spelling of 146551356 in words is "one hundred forty-six million, five hundred fifty-one thousand, three hundred fifty-six".