146148670560 has 96 divisors (see below), whose sum is σ = 460824305760. Its totient is φ = 38934376448.

The previous prime is 146148670531. The next prime is 146148670573. The reversal of 146148670560 is 65076841641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335956 + ... + 636524.

It is an arithmetic number, because the mean of its divisors is an integer number (4800253185).

Almost surely, 2^146148670560 is an apocalyptic number.

146148670560 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 146148670560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230412152880).

146148670560 is an abundant number, since it is smaller than the sum of its proper divisors (314675635200).

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

146148670560 is a wasteful number, since it uses less digits than its factorization.

146148670560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301600 (or 301592 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 146148670560 in words is "one hundred forty-six billion, one hundred forty-eight million, six hundred seventy thousand, five hundred sixty".