146257944 has 128 divisors (see below), whose sum is σ = 432960000. Its totient is φ = 41150592.

The previous prime is 146257913. The next prime is 146257957. The reversal of 146257944 is 449752641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 146257896 and 146257905.

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 31 ways as a sum of consecutive naturals, for example, 897207 + ... + 897369.

It is an arithmetic number, because the mean of its divisors is an integer number (3382500).

Almost surely, 2^146257944 is an apocalyptic number.

146257944 is a gapful number since it is divisible by the number (14) 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 146257944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216480000).

146257944 is an abundant number, since it is smaller than the sum of its proper divisors (286702056).

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

146257944 is a wasteful number, since it uses less digits than its factorization.

146257944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 146257944 is about 12093.7150619650. The cubic root of 146257944 is about 526.8736607349.

The spelling of 146257944 in words is "one hundred forty-six million, two hundred fifty-seven thousand, nine hundred forty-four".