146052137134000 has 320 divisors, whose sum is σ = 377079679641600. Its totient is φ = 54551677824000.

The previous prime is 146052137133949. The next prime is 146052137134063. The reversal of 146052137134000 is 431731250641.

It is a happy number.

It is a super-2 number, since 2×146052137134000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18424638037 + ... + 18424645963.

It is an arithmetic number, because the mean of its divisors is an integer number (1178373998880).

Almost surely, 2^{146052137134000} is an apocalyptic number.

146052137134000 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 146052137134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188539839820800).

146052137134000 is an abundant number, since it is smaller than the sum of its proper divisors (231027542507600).

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

146052137134000 is a wasteful number, since it uses less digits than its factorization.

146052137134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14869 (or 14853 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 146052137134000 its reverse (431731250641), we get a palindrome (146483868384641).

The spelling of 146052137134000 in words is "one hundred forty-six trillion, fifty-two billion, one hundred thirty-seven million, one hundred thirty-four thousand".