146551340125242 has 256 divisors, whose sum is σ = 359915926487040. Its totient is φ = 43920168364800.

The previous prime is 146551340125231. The next prime is 146551340125249. The reversal of 146551340125242 is 242521043155641.

146551340125242 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 51 + 340 + 1 + 252 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (146551340125249) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8946413892 + ... + 8946430272.

It is an arithmetic number, because the mean of its divisors is an integer number (1405921587840).

Almost surely, 2^{146551340125242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146551340125242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179957963243520).

146551340125242 is an abundant number, since it is smaller than the sum of its proper divisors (213364586361798).

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

146551340125242 is a wasteful number, since it uses less digits than its factorization.

146551340125242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17746 (or 17740 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 146551340125242 in words is "one hundred forty-six trillion, five hundred fifty-one billion, three hundred forty million, one hundred twenty-five thousand, two hundred forty-two".