145178671950 has 384 divisors, whose sum is σ = 439761853440. Its totient is φ = 35001331200.

The previous prime is 145178671949. The next prime is 145178671951. The reversal of 145178671950 is 59176871541.

145178671950 is a `hidden beast` number, since 1 + 4 + 517 + 8 + 6 + 71 + 9 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (145178671949) and next prime (145178671951).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145178671951) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 365689152 + ... + 365689548.

It is an arithmetic number, because the mean of its divisors is an integer number (1145213160).

Almost surely, 2^145178671950 is an apocalyptic number.

145178671950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145178671950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219880926720).

145178671950 is an abundant number, since it is smaller than the sum of its proper divisors (294583181490).

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

145178671950 is a wasteful number, since it uses less digits than its factorization.

145178671950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 145178671950 in words is "one hundred forty-five billion, one hundred seventy-eight million, six hundred seventy-one thousand, nine hundred fifty".