146761130880 has 1536 divisors, whose sum is σ = 664191360000. Its totient is φ = 30349541376.

The previous prime is 146761130833. The next prime is 146761130897. The reversal of 146761130880 is 88031167641.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 737493021 + ... + 737493219.

It is an arithmetic number, because the mean of its divisors is an integer number (432416250).

Almost surely, 2^146761130880 is an apocalyptic number.

146761130880 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 146761130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332095680000).

146761130880 is an abundant number, since it is smaller than the sum of its proper divisors (517430229120).

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

146761130880 is a wasteful number, since it uses less digits than its factorization.

146761130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 146761130880 in words is "one hundred forty-six billion, seven hundred sixty-one million, one hundred thirty thousand, eight hundred eighty".