146755506240 has 448 divisors, whose sum is σ = 596229765120. Its totient is φ = 33286256640.

The previous prime is 146755506239. The next prime is 146755506241. The reversal of 146755506240 is 42605557641.

146755506240 is a `hidden beast` number, since 1 + 4 + 6 + 75 + 550 + 6 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146755506239) and next prime (146755506241).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×146755506240² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (146755506241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7913619 + ... + 7932141.

Almost surely, 2^146755506240 is an apocalyptic number.

146755506240 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 146755506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298114882560).

146755506240 is an abundant number, since it is smaller than the sum of its proper divisors (449474258880).

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

146755506240 is a wasteful number, since it uses less digits than its factorization.

146755506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18687 (or 18671 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 146755506240 in words is "one hundred forty-six billion, seven hundred fifty-five million, five hundred six thousand, two hundred forty".