146237271974976 has 896 divisors, whose sum is σ = 489090760704000. Its totient is φ = 37540643512320.

The previous prime is 146237271974953. The next prime is 146237271974993. The reversal of 146237271974976 is 679479172732641.

146237271974976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146237271974898 and 146237271974907.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68623777431 + ... + 68623779561.

It is an arithmetic number, because the mean of its divisors is an integer number (545860224000).

Almost surely, 2^{146237271974976} is an apocalyptic number.

146237271974976 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 146237271974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244545380352000).

146237271974976 is an abundant number, since it is smaller than the sum of its proper divisors (342853488729024).

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

146237271974976 is a wasteful number, since it uses less digits than its factorization.

146237271974976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2917 counting only the distinct ones).

The product of its digits is 1344252672, while the sum is 75.

The spelling of 146237271974976 in words is "one hundred forty-six trillion, two hundred thirty-seven billion, two hundred seventy-one million, nine hundred seventy-four thousand, nine hundred seventy-six".