145909137400 has 192 divisors, whose sum is σ = 377980807680. Its totient is φ = 52030771200.

The previous prime is 145909137389. The next prime is 145909137421. The reversal of 145909137400 is 4731909541.

It is a congruent number.

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, 13173865 + ... + 13184935.

It is an arithmetic number, because the mean of its divisors is an integer number (1968650040).

Almost surely, 2^145909137400 is an apocalyptic number.

145909137400 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 145909137400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188990403840).

145909137400 is an abundant number, since it is smaller than the sum of its proper divisors (232071670280).

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

145909137400 is a wasteful number, since it uses less digits than its factorization.

145909137400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11274 (or 11265 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 145909137400 in words is "one hundred forty-five billion, nine hundred nine million, one hundred thirty-seven thousand, four hundred".