145034820 has 384 divisors, whose sum is σ = 569963520. Its totient is φ = 29859840.

The previous prime is 145034807. The next prime is 145034839. The reversal of 145034820 is 28430541.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2377590 + ... + 2377650.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^145034820 is an apocalyptic number.

145034820 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 145034820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

145034820 is an abundant number, since it is smaller than the sum of its proper divisors (424928700).

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

145034820 is a wasteful number, since it uses less digits than its factorization.

145034820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145034820 is about 12043.0403138078. The cubic root of 145034820 is about 525.4008367410.

The spelling of 145034820 in words is "one hundred forty-five million, thirty-four thousand, eight hundred twenty".