145206523400 has 288 divisors, whose sum is σ = 388973988000. Its totient is φ = 50096793600.

The previous prime is 145206523373. The next prime is 145206523409. The reversal of 145206523400 is 4325602541.

It is not an unprimeable number, because it can be changed into a prime (145206523409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62079431 + ... + 62081769.

It is an arithmetic number, because the mean of its divisors is an integer number (1350604125).

Almost surely, 2^145206523400 is an apocalyptic number.

145206523400 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 145206523400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194486994000).

145206523400 is an abundant number, since it is smaller than the sum of its proper divisors (243767464600).

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

145206523400 is a wasteful number, since it uses less digits than its factorization.

145206523400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 145206523400 in words is "one hundred forty-five billion, two hundred six million, five hundred twenty-three thousand, four hundred".