146603096640 has 2688 divisors, whose sum is σ = 740977090560. Its totient is φ = 26495631360.

The previous prime is 146603096621. The next prime is 146603096657. The reversal of 146603096640 is 46690306641.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2188105887 + ... + 2188105953.

It is an arithmetic number, because the mean of its divisors is an integer number (275661120).

Almost surely, 2^146603096640 is an apocalyptic number.

146603096640 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 146603096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370488545280).

146603096640 is an abundant number, since it is smaller than the sum of its proper divisors (594373993920).

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

146603096640 is a wasteful number, since it uses less digits than its factorization.

146603096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 146603096640 in words is "one hundred forty-six billion, six hundred three million, ninety-six thousand, six hundred forty".