146070960 has 120 divisors (see below), whose sum is σ = 526792176. Its totient is φ = 33384960.

The previous prime is 146070937. The next prime is 146070973. The reversal of 146070960 is 69070641.

146070960 = 2121² + 2122² + ... + 2152².

It is a happy number.

146070960 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 (120).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5550 + ... + 17970.

Almost surely, 2^146070960 is an apocalyptic number.

146070960 is a gapful number since it is divisible by the number (10) 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 146070960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263396088).

146070960 is an abundant number, since it is smaller than the sum of its proper divisors (380721216).

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

146070960 is a wasteful number, since it uses less digits than its factorization.

146070960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12451 (or 12438 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 146070960 is about 12085.9819625879. The cubic root of 146070960 is about 526.6490371353.

The spelling of 146070960 in words is "one hundred forty-six million, seventy thousand, nine hundred sixty".