146137522752 has 168 divisors, whose sum is σ = 457832496576. Its totient is φ = 44294114304.

The previous prime is 146137522723. The next prime is 146137522801. The reversal of 146137522752 is 257225731641.

146137522752 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 375 + 2 + 275 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 146137522698 and 146137522707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356053 + ... + 647339.

It is an arithmetic number, because the mean of its divisors is an integer number (2725193432).

Almost surely, 2^146137522752 is an apocalyptic number.

146137522752 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 146137522752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228916248288).

146137522752 is an abundant number, since it is smaller than the sum of its proper divisors (311694973824).

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

146137522752 is a wasteful number, since it uses less digits than its factorization.

146137522752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291385 (or 291372 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 146137522752 in words is "one hundred forty-six billion, one hundred thirty-seven million, five hundred twenty-two thousand, seven hundred fifty-two".