145379520 has 336 divisors, whose sum is σ = 589129632. Its totient is φ = 32440320.

The previous prime is 145379519. The next prime is 145379539. The reversal of 145379520 is 25973541.

145379520 is a `hidden beast` number, since 14 + 53 + 79 + 520 = 666.

It is a super-2 number, since 2×145379520² = 42270409670860800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411664 + ... + 412016.

It is an arithmetic number, because the mean of its divisors is an integer number (1753362).

Almost surely, 2^145379520 is an apocalyptic number.

145379520 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 145379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294564816).

145379520 is an abundant number, since it is smaller than the sum of its proper divisors (443750112).

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

145379520 is a wasteful number, since it uses less digits than its factorization.

145379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 145379520 is about 12057.3429908915. The cubic root of 145379520 is about 525.8167423407.

The spelling of 145379520 in words is "one hundred forty-five million, three hundred seventy-nine thousand, five hundred twenty".