146211650674100 has 144 divisors (see below), whose sum is σ = 350718817559040. Its totient is φ = 52463445052800.

The previous prime is 146211650674093. The next prime is 146211650674123. The reversal of 146211650674100 is 1476056112641.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 74166971 + ... + 76112829.

It is an arithmetic number, because the mean of its divisors is an integer number (2435547344160).

Almost surely, 2^{146211650674100} is an apocalyptic number.

146211650674100 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 146211650674100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175359408779520).

146211650674100 is an abundant number, since it is smaller than the sum of its proper divisors (204507166884940).

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

146211650674100 is a wasteful number, since it uses less digits than its factorization.

146211650674100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946790 (or 1946783 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 146211650674100 in words is "one hundred forty-six trillion, two hundred eleven billion, six hundred fifty million, six hundred seventy-four thousand, one hundred".