145176413400 has 336 divisors, whose sum is σ = 507090267360. Its totient is φ = 38635833600.

The previous prime is 145176413399. The next prime is 145176413449. The reversal of 145176413400 is 4314671541.

145176413400 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 7 + 641 + 3 + 4 + 0 + 0 = 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 83 ways as a sum of consecutive naturals, for example, 132823254 + ... + 132824346.

Almost surely, 2^145176413400 is an apocalyptic number.

145176413400 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 145176413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253545133680).

145176413400 is an abundant number, since it is smaller than the sum of its proper divisors (361913853960).

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

145176413400 is a wasteful number, since it uses less digits than its factorization.

145176413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 145176413400 in words is "one hundred forty-five billion, one hundred seventy-six million, four hundred thirteen thousand, four hundred".