146749520240 has 320 divisors, whose sum is σ = 389628455040. Its totient is φ = 51066961920.

The previous prime is 146749520233. The next prime is 146749520261. The reversal of 146749520240 is 42025947641.

It is a Cunningham number, because it is equal to 383079²-1.

It is a junction number, because it is equal to n+sod(n) for n = 146749520191 and 146749520200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247469384 + ... + 247469976.

It is an arithmetic number, because the mean of its divisors is an integer number (1217588922).

Almost surely, 2^146749520240 is an apocalyptic number.

146749520240 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 146749520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194814227520).

146749520240 is an abundant number, since it is smaller than the sum of its proper divisors (242878934800).

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

146749520240 is a wasteful number, since it uses less digits than its factorization.

146749520240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 146749520240 in words is "one hundred forty-six billion, seven hundred forty-nine million, five hundred twenty thousand, two hundred forty".