146601952512 has 72 divisors (see below), whose sum is σ = 390957924000. Its totient is φ = 48769259520.

The previous prime is 146601952507. The next prime is 146601952529. The reversal of 146601952512 is 215259106641.

It is a happy number.

It is a super-2 number, since 2×146601952512² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191962 + ... + 574502.

Almost surely, 2^146601952512 is an apocalyptic number.

146601952512 is a gapful number since it is divisible by the number (12) 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 146601952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195478962000).

146601952512 is an abundant number, since it is smaller than the sum of its proper divisors (244355971488).

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

146601952512 is an equidigital number, since it uses as much as digits as its factorization.

146601952512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383059 (or 383045 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 146601952512 in words is "one hundred forty-six billion, six hundred one million, nine hundred fifty-two thousand, five hundred twelve".