145857504 has 96 divisors (see below), whose sum is σ = 418237344. Its totient is φ = 44236800.

The previous prime is 145857493. The next prime is 145857521. The reversal of 145857504 is 405758541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×145857504² = 42548822946220032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90304 + ... + 91904.

It is an arithmetic number, because the mean of its divisors is an integer number (4356639).

Almost surely, 2^145857504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145857504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209118672).

145857504 is an abundant number, since it is smaller than the sum of its proper divisors (272379840).

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

145857504 is a wasteful number, since it uses less digits than its factorization.

145857504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 39.

The square root of 145857504 is about 12077.1480077045. The cubic root of 145857504 is about 526.3923783168.

The spelling of 145857504 in words is "one hundred forty-five million, eight hundred fifty-seven thousand, five hundred four".