145141620 has 96 divisors (see below), whose sum is σ = 439786368. Its totient is φ = 35553792.

The previous prime is 145141603. The next prime is 145141621. The reversal of 145141620 is 26141541.

145141620 = T₃₈₉ + T₃₉₀ + ... + T₉₇₅.

It is a happy number.

145141620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145141621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246967 + ... + 247553.

It is an arithmetic number, because the mean of its divisors is an integer number (4581108).

Almost surely, 2^145141620 is an apocalyptic number.

145141620 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 145141620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219893184).

145141620 is an abundant number, since it is smaller than the sum of its proper divisors (294644748).

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

145141620 is a wasteful number, since it uses less digits than its factorization.

145141620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 145141620 is about 12047.4735940777. The cubic root of 145141620 is about 525.5297690936.

It can be divided in two parts, 1451 and 41620, that added together give a triangular number (43071 = T₂₉₃).

The spelling of 145141620 in words is "one hundred forty-five million, one hundred forty-one thousand, six hundred twenty".