145178352 has 160 divisors (see below), whose sum is σ = 459970560. Its totient is φ = 43476480.

The previous prime is 145178333. The next prime is 145178357. The reversal of 145178352 is 253871541.

145178352 is a `hidden beast` number, since 14 + 517 + 83 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145178357) 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, 650913 + ... + 651135.

It is an arithmetic number, because the mean of its divisors is an integer number (2874816).

Almost surely, 2^145178352 is an apocalyptic number.

145178352 is a gapful number since it is divisible by the number (12) 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 145178352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229985280).

145178352 is an abundant number, since it is smaller than the sum of its proper divisors (314792208).

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

145178352 is a wasteful number, since it uses less digits than its factorization.

145178352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 145178352 is about 12048.9979666361. The cubic root of 145178352 is about 525.5740985130.

It can be divided in two parts, 145178 and 352, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 145178352 in words is "one hundred forty-five million, one hundred seventy-eight thousand, three hundred fifty-two".