145163820 has 96 divisors (see below), whose sum is σ = 418037760. Its totient is φ = 37623040.

The previous prime is 145163803. The next prime is 145163827. The reversal of 145163820 is 28361541.

145163820 = T₁ + T₂ + ... + T₉₅₄.

145163820 is a nontrivial binomial coefficient, being equal to C(956, 3).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (145163827) by changing a digit.

It is the 954-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607261 + ... + 607499.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2^145163820 is an apocalyptic number.

145163820 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 145163820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

145163820 is an abundant number, since it is smaller than the sum of its proper divisors (272873940).

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

145163820 is a wasteful number, since it uses less digits than its factorization.

145163820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 145163820 is about 12048.3949138464. The cubic root of 145163820 is about 525.5565616981.

It can be divided in two parts, 14516 and 3820, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 145163820 in words is "one hundred forty-five million, one hundred sixty-three thousand, eight hundred twenty".