146990976 has 256 divisors, whose sum is σ = 475891200. Its totient is φ = 39649280.

The previous prime is 146990957. The next prime is 146990983. The reversal of 146990976 is 679099641.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1651540 + ... + 1651628.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 2^146990976 is an apocalyptic number.

146990976 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 146990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237945600).

146990976 is an abundant number, since it is smaller than the sum of its proper divisors (328900224).

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

146990976 is a wasteful number, since it uses less digits than its factorization.

146990976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 146990976 is about 12123.9835037829. The cubic root of 146990976 is about 527.7524091699.

The spelling of 146990976 in words is "one hundred forty-six million, nine hundred ninety thousand, nine hundred seventy-six".