145123015532400 has 480 divisors, whose sum is σ = 532834104172800. Its totient is φ = 37496906726400.

The previous prime is 145123015532329. The next prime is 145123015532441. The reversal of 145123015532400 is 4235510321541.

145123015532400 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 230 + 15 + 5 + 3 + 2 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42495691 + ... + 45783509.

It is an arithmetic number, because the mean of its divisors is an integer number (1110071050360).

Almost surely, 2^{145123015532400} is an apocalyptic number.

145123015532400 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 145123015532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266417052086400).

145123015532400 is an abundant number, since it is smaller than the sum of its proper divisors (387711088640400).

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

145123015532400 is a wasteful number, since it uses less digits than its factorization.

145123015532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287974 (or 3287957 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 145123015532400 its reverse (4235510321541), we get a palindrome (149358525853941).

The spelling of 145123015532400 in words is "one hundred forty-five trillion, one hundred twenty-three billion, fifteen million, five hundred thirty-two thousand, four hundred".