146461015440 has 240 divisors, whose sum is σ = 499918114800. Its totient is φ = 38419660800.

The previous prime is 146461015427. The next prime is 146461015457. The reversal of 146461015440 is 44510164641.

146461015440 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 6 + 101 + 544 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35843576976 + 110617438464 = 189324^2 + 332592^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146461015395 and 146461015404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21073086 + ... + 21080034.

It is an arithmetic number, because the mean of its divisors is an integer number (2082992145).

Almost surely, 2^146461015440 is an apocalyptic number.

146461015440 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 146461015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249959057400).

146461015440 is an abundant number, since it is smaller than the sum of its proper divisors (353457099360).

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

146461015440 is a wasteful number, since it uses less digits than its factorization.

146461015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7442 (or 7433 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 146461015440 in words is "one hundred forty-six billion, four hundred sixty-one million, fifteen thousand, four hundred forty".