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145325376 = 26327219271
BaseRepresentation
bin10001010100101…
…11110101000000
3101010110021221100
420222113311000
5244200403001
622230454400
73413150100
oct1052276500
9333407840
10145325376
117503a119
1240804400
1324153261
141542d200
15cb59586
hex8a97d40

145325376 has 252 divisors, whose sum is σ = 511942080. Its totient is φ = 39191040.

The previous prime is 145325371. The next prime is 145325377. The reversal of 145325376 is 673523541.

145325376 is a `hidden beast` number, since 1 + 4 + 532 + 53 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×1453253762 = 42238929819082752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145325376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145325371) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 536121 + ... + 536391.

Almost surely, 2145325376 is an apocalyptic number.

145325376 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 145325376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255971040).

145325376 is an abundant number, since it is smaller than the sum of its proper divisors (366616704).

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

145325376 is a wasteful number, since it uses less digits than its factorization.

145325376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 302 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 145325376 is about 12055.0975110117. The cubic root of 145325376 is about 525.7514572240.

The spelling of 145325376 in words is "one hundred forty-five million, three hundred twenty-five thousand, three hundred seventy-six".