146152805760 has 256 divisors, whose sum is σ = 557442648000. Its totient is φ = 35976019968.

The previous prime is 146152805731. The next prime is 146152805779. The reversal of 146152805760 is 67508251641.

146152805760 is a `hidden beast` number, since 1 + 4 + 61 + 528 + 0 + 5 + 7 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100665 + ... + 549944.

Almost surely, 2^146152805760 is an apocalyptic number.

146152805760 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 146152805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278721324000).

146152805760 is an abundant number, since it is smaller than the sum of its proper divisors (411289842240).

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

146152805760 is a wasteful number, since it uses less digits than its factorization.

146152805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650650 (or 650632 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 146152805760 in words is "one hundred forty-six billion, one hundred fifty-two million, eight hundred five thousand, seven hundred sixty".