146504355314100 has 144 divisors (see below), whose sum is σ = 484479563906688. Its totient is φ = 33484048796160.

The previous prime is 146504355314081. The next prime is 146504355314111. The reversal of 146504355314100 is 1413553405641.

146504355314100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×146504355314100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 23721742 + ... + 29252858.

Almost surely, 2^{146504355314100} is an apocalyptic number.

146504355314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146504355314100 is an abundant number, since it is smaller than the sum of its proper divisors (337975208592588).

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

146504355314100 is a wasteful number, since it uses less digits than its factorization.

146504355314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543754 (or 5543747 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 146504355314100 in words is "one hundred forty-six trillion, five hundred four billion, three hundred fifty-five million, three hundred fourteen thousand, one hundred".