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151125104 = 24131779541
BaseRepresentation
bin10010000000111…
…11110001110000
3101112100221200002
421000133301300
5302142000404
622555045132
73513353654
oct1100376160
9345327602
10151125104
1178340589
12427407a8
1325404050
14160dca64
15d402c1e
hex901fc70

151125104 has 80 divisors (see below), whose sum is σ = 338728320. Its totient is φ = 64696320.

The previous prime is 151125103. The next prime is 151125151. The reversal of 151125104 is 401521151.

It is a super-3 number, since 3×1511251043 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151125103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279074 + ... + 279614.

It is an arithmetic number, because the mean of its divisors is an integer number (4234104).

Almost surely, 2151125104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151125104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169364160).

151125104 is an abundant number, since it is smaller than the sum of its proper divisors (187603216).

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

151125104 is a wasteful number, since it uses less digits than its factorization.

151125104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 151125104 is about 12293.2950830931. The cubic root of 151125104 is about 532.6544229486.

Adding to 151125104 its reverse (401521151), we get a palindrome (552646255).

The spelling of 151125104 in words is "one hundred fifty-one million, one hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 79 104 136 158 208 221 272 316 442 541 632 884 1027 1082 1264 1343 1768 2054 2164 2686 3536 4108 4328 5372 7033 8216 8656 9197 10744 14066 16432 17459 18394 21488 28132 34918 36788 42739 56264 69836 73576 85478 112528 119561 139672 147152 170956 239122 279344 341912 478244 555607 683824 726563 956488 1111214 1453126 1912976 2222428 2906252 4444856 5812504 8889712 9445319 11625008 18890638 37781276 75562552 151125104