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157061152 = 25371091217
BaseRepresentation
bin10010101110010…
…01000000100000
3101221112112101201
421113021000200
5310201424102
623330210544
73614666143
oct1127110040
9357475351
10157061152
1180725406
1244723a54
1326701bc1
1416c0605a
15dbc6987
hex95c9020

157061152 has 48 divisors (see below), whose sum is σ = 320748120. Its totient is φ = 75644928.

The previous prime is 157061143. The next prime is 157061167. The reversal of 157061152 is 251160751.

It can be written as a sum of positive squares in 4 ways, for example, as 153660816 + 3400336 = 12396^2 + 1844^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 157061152.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128448 + ... + 129664.

Almost surely, 2157061152 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 157061152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160374060).

157061152 is an abundant number, since it is smaller than the sum of its proper divisors (163686968).

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

157061152 is a wasteful number, since it uses less digits than its factorization.

157061152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 157061152 is about 12532.4040790265. The cubic root of 157061152 is about 539.5391037595.

The spelling of 157061152 in words is "one hundred fifty-seven million, sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 74 109 148 218 296 436 592 872 1184 1217 1744 2434 3488 4033 4868 8066 9736 16132 19472 32264 38944 45029 64528 90058 129056 132653 180116 265306 360232 530612 720464 1061224 1440928 2122448 4244896 4908161 9816322 19632644 39265288 78530576 157061152