146729856 has 384 divisors, whose sum is σ = 537580800. Its totient is φ = 34504704.

The previous prime is 146729819. The next prime is 146729861. The reversal of 146729856 is 658927641.

146729856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7722615 + ... + 7722633.

It is an arithmetic number, because the mean of its divisors is an integer number (1399950).

Almost surely, 2^146729856 is an apocalyptic number.

146729856 is a gapful number since it is divisible by the number (16) 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 146729856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268790400).

146729856 is an abundant number, since it is smaller than the sum of its proper divisors (390850944).

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

146729856 is a wasteful number, since it uses less digits than its factorization.

146729856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 61 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 146729856 is about 12113.2099791921. The cubic root of 146729856 is about 527.4397178854.

The spelling of 146729856 in words is "one hundred forty-six million, seven hundred twenty-nine thousand, eight hundred fifty-six".