145101936 has 240 divisors, whose sum is σ = 488540160. Its totient is φ = 36771840.

The previous prime is 145101889. The next prime is 145101941. The reversal of 145101936 is 639101541.

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, 759601 + ... + 759791.

It is an arithmetic number, because the mean of its divisors is an integer number (2035584).

Almost surely, 2^145101936 is an apocalyptic number.

145101936 is a gapful number since it is divisible by the number (16) 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 145101936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244270080).

145101936 is an abundant number, since it is smaller than the sum of its proper divisors (343438224).

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

145101936 is a wasteful number, since it uses less digits than its factorization.

145101936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 145101936 is about 12045.8264971732. The cubic root of 145101936 is about 525.4818686950.

The spelling of 145101936 in words is "one hundred forty-five million, one hundred one thousand, nine hundred thirty-six".