146249376 has 96 divisors (see below), whose sum is σ = 472526208. Its totient is φ = 38568960.

The previous prime is 146249359. The next prime is 146249381. The reversal of 146249376 is 673942641.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 366 + ... + 17106.

It is an arithmetic number, because the mean of its divisors is an integer number (4922148).

Almost surely, 2^146249376 is an apocalyptic number.

146249376 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 146249376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236263104).

146249376 is an abundant number, since it is smaller than the sum of its proper divisors (326276832).

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

146249376 is a wasteful number, since it uses less digits than its factorization.

146249376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16774 (or 16766 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 146249376 is about 12093.3608231955. The cubic root of 146249376 is about 526.8633721959.

The spelling of 146249376 in words is "one hundred forty-six million, two hundred forty-nine thousand, three hundred seventy-six".