146705075370 has 640 divisors, whose sum is σ = 482115110400. Its totient is φ = 32097461760.

The previous prime is 146705075311. The next prime is 146705075371. The reversal of 146705075370 is 73570507641.

146705075370 is a `hidden beast` number, since 1 + 4 + 6 + 70 + 507 + 5 + 3 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146705075371) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2768020264 + ... + 2768020316.

It is an arithmetic number, because the mean of its divisors is an integer number (753304860).

Almost surely, 2^146705075370 is an apocalyptic number.

146705075370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146705075370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241057555200).

146705075370 is an abundant number, since it is smaller than the sum of its proper divisors (335410035030).

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

146705075370 is an frugal number, since it uses more digits than its factorization.

146705075370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 146705075370 in words is "one hundred forty-six billion, seven hundred five million, seventy-five thousand, three hundred seventy".