146120100 has 144 divisors (see below), whose sum is σ = 511717248. Its totient is φ = 31426560.

The previous prime is 146120087. The next prime is 146120101. The reversal of 146120100 is 1021641.

146120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 146120100.

It is not an unprimeable number, because it can be changed into a prime (146120101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33654 + ... + 37746.

It is an arithmetic number, because the mean of its divisors is an integer number (3553592).

Almost surely, 2^146120100 is an apocalyptic number.

146120100 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 146120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255858624).

146120100 is an abundant number, since it is smaller than the sum of its proper divisors (365597148).

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

146120100 is a wasteful number, since it uses less digits than its factorization.

146120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 146120100 is about 12088.0147253385. The cubic root of 146120100 is about 526.7080875041.

Adding to 146120100 its reverse (1021641), we get a palindrome (147141741).

The spelling of 146120100 in words is "one hundred forty-six million, one hundred twenty thousand, one hundred".